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font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Warda Merahi</style></author><author><style face="normal" font="default" size="100%">Said Guedjiba</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME PROPERTIES OF COMMON HERMITIAN SOLUTIONS OF MATRIX EQUATIONS A1XA</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2019</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Warda Merahi</style></author><author><style face="normal" font="default" size="100%">Said Guedjiba</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME PROPERTIES OF COMMON HERMITIAN SOLUTIONS OF MATRIX EQUATIONS A&lt;sub&gt;1&lt;/sub&gt;XA&lt;sup&gt;*&lt;/sup&gt;&lt;sub&gt;1&lt;/sub&gt;= B&lt;sub&gt;1 &lt;/sub&gt;AND A&lt;sub&gt;2&lt;/sub&gt;XA&lt;sup&gt;&amp;lowast;&lt;/sup&gt;&lt;sub&gt;2&lt;/sub&gt; = B&lt;sub&gt;2&lt;/sub&gt;</style></title><secondary-title><style face="normal" font="default" size="100%">MATEMATICKI VESNIK ˇ MATEMATIQKI VESNIK</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2019</style></year></dates><volume><style face="normal" font="default" size="100%">71</style></volume><pages><style face="normal" font="default" size="100%">214–229</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">3</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Hanane Guelfen</style></author><author><style face="normal" font="default" size="100%">Fuad Kittaneh</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On Numerical Radius Inequalities for Operator Matrices</style></title><secondary-title><style face="normal" font="default" size="100%">Numerical Functional Analysis and Optimization</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2019</style></year></dates><volume><style face="normal" font="default" size="100%">40</style></volume><pages><style face="normal" font="default" size="100%">1231-1241</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">11</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Seddik Ameur</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SELFADJOINT OPERATORS, NORMAL OPERATORS, AND CHARACTERIZATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Operators and Matrices</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2019</style></year></dates><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">835–842</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	Let B(H) be the C&lt;sup&gt;∗&lt;/sup&gt; -algebra of all bounded linear operators acting on a complex separable Hilbert space H . We shall show that:
&lt;/p&gt;

&lt;p style=&quot;text-align: justify;&quot;&gt;
	1. The class of all selfadjoint operators in B(H) multiplied by scalars is characterized by ∀X ∈ B(H), S&lt;sup&gt;2&lt;/sup&gt;X +XS&lt;sup&gt;2&lt;/sup&gt;&amp;nbsp;=&amp;gt;2||SXS||, (S ∈ B(H)).
&lt;/p&gt;

&lt;p style=&quot;text-align: justify;&quot;&gt;
	2. The class of all normal operators in B(H) is characterized by each of the three following properties (where DS = S&lt;sup&gt;∗&lt;/sup&gt;S−SS&lt;sup&gt;∗&lt;/sup&gt; , for S ∈ B(H)),
&lt;/p&gt;

&lt;p style=&quot;text-align: justify;&quot;&gt;
	(i) ∀X ∈ B(H), S&lt;sup&gt;2&lt;/sup&gt;X + XS&lt;sup&gt;2&lt;/sup&gt;&amp;nbsp;=&amp;gt;2||SXS||,(S ∈ B(H)),
&lt;/p&gt;

&lt;p style=&quot;text-align: justify;&quot;&gt;
	(ii) S∗DSS = 0 = SDSS∗,(S ∈ B(H)),
&lt;/p&gt;

&lt;p style=&quot;text-align: justify;&quot;&gt;
	(iii) S&lt;sup&gt;∗&lt;/sup&gt;D&lt;sub&gt;S&lt;/sub&gt;S=&amp;gt; 0 =&amp;gt;SD&lt;sub&gt;S&lt;/sub&gt;S&lt;sup&gt;∗&lt;/sup&gt;,(S ∈ B(H)).
&lt;/p&gt;

&lt;p style=&quot;text-align: justify;&quot;&gt;
	&amp;nbsp;
&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Farida Lombarkia</style></author><author><style face="normal" font="default" size="100%">Amina Boussaid</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Operator equations and inner inverses of elementary operators</style></title><secondary-title><style face="normal" font="default" size="100%"> Linear and Multilinear Algebra </style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2019</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	Let&amp;nbsp;&lt;i&gt;E&lt;/i&gt;,&lt;i&gt;F&lt;/i&gt;,&lt;i&gt;G&lt;/i&gt;,&lt;i&gt;D&lt;/i&gt;&amp;nbsp;be infinite complex Banach spaces and&amp;nbsp;B(F,E)&amp;nbsp;the Banach space of all bounded linear operators from&amp;nbsp;&lt;i&gt;F&lt;/i&gt;&amp;nbsp;into&amp;nbsp;&lt;i&gt;E&lt;/i&gt;. Consider&amp;nbsp;A1,A2∈B(F,E),&amp;nbsp;B&lt;sub&gt;1&lt;/sub&gt;,B&lt;sub&gt;2&lt;/sub&gt;∈B(D,G)B1,B2∈B(D,G). Let&amp;nbsp;MA1,B1:X→A1XB1&amp;nbsp;be the multiplication operator on&amp;nbsp;B(G,F)&amp;nbsp;induced by&amp;nbsp;A1,B1. In particular,&amp;nbsp;L&lt;sub&gt;A1&lt;/sub&gt;=M&lt;sub&gt;A1&lt;/sub&gt;,&lt;sub&gt;I&lt;/sub&gt;&amp;nbsp;and&amp;nbsp;R&lt;sub&gt;B1&lt;/sub&gt;=M&lt;sub&gt;I,B1&lt;/sub&gt;, where&amp;nbsp;&lt;i&gt;I&lt;/i&gt;&amp;nbsp;is the identity operator are the left and the right multiplication operators, respectively. The elementary operator Ψ defined on&amp;nbsp;B(G,F)B(G,F)&amp;nbsp;is the sum of two multiplication operators Ψ=M&lt;sub&gt;A1,B1&lt;/sub&gt;+M&lt;sub&gt;A2,B2&lt;/sub&gt;. This paper gives necessary and sufficient conditions for the existence of a common solution of the operator equations&amp;nbsp;M&lt;sub&gt;A1,B1&lt;/sub&gt;(X)=C1 and&amp;nbsp;M&lt;sub&gt;A2,B2&lt;/sub&gt;(X)=C2 and derive a new representation of the general common solution via the inner inverse of the elementary operator Ψ; we apply this result to determine new necessary and sufficient conditions for the existence of a Hermitian solution and a representation of the general Hermitian solution to the operator equation&amp;nbsp;M&lt;sub&gt;A,B&lt;/sub&gt;(X)=C. As a consequence, we obtain well-known results of Daji&lt;sub&gt;c´&lt;/sub&gt;&amp;nbsp;and Koliha.
&lt;/p&gt;
</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Bouraya, C</style></author><author><style face="normal" font="default" size="100%">Seddik, A</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the characterizations of some distinguished subclasses of Hilbert space operators</style></title><secondary-title><style face="normal" font="default" size="100%">Acta Scientiarum Mathematicarum</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><volume><style face="normal" font="default" size="100%">84</style></volume><pages><style face="normal" font="default" size="100%">611-627</style></pages><isbn><style face="normal" font="default" size="100%">2064-8316</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">3</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chebbah, H</style></author><author><style face="normal" font="default" size="100%">Mennouni, A</style></author><author><style face="normal" font="default" size="100%">Ramdani, NE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Numerical Solution of Generalized Logarithmic Integral Equations of the Second Kind by Projections</style></title><secondary-title><style face="normal" font="default" size="100%">Malaysian Journal of Mathematical Sciences</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">349–367-349–367</style></pages><isbn><style face="normal" font="default" size="100%">2289-750X</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">3</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chaima Bouraya</style></author><author><style face="normal" font="default" size="100%">Seddik Ameur</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the characterizations of some distinguished subclasses of Hilbert space operators</style></title><secondary-title><style face="normal" font="default" size="100%">Acta Scientiarum Mathematicarum</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><volume><style face="normal" font="default" size="100%">84</style></volume><pages><style face="normal" font="default" size="100%">611-627</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	In this note, we present several characterizations for some distinguished classes of bounded Hilbert space operators (self-adjoint operators, normal operators, unitary operators, and isometry operators) in terms of operator inequalities.
&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">34</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Abdelaziz Mennouni</style></author><author><style face="normal" font="default" size="100%">Nedjem-Eddine Ramdani</style></author><author><style face="normal" font="default" size="100%">Khaled Zennir</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A New Class of Fredholm Integral Equations of the Second Kind with Non Symmetric Kernel: Solving by Wavelets Method</style></title><secondary-title><style face="normal" font="default" size="100%">Boletim da Sociedade Paranaense de Matem´atica</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	In this paper, we introduce an efficient modification of the wavelets method to solve a new class of Fredholm integral equations of the second kind with non symmetric kernel. This method based on orthonormal wavelet basis, as a consequence three systems are obtained, a Toeplitz system and two systems with condition number close to 1. Since the preconditioned conjugate gradient normal equation residual (CGNR) and preconditioned conjugate gradient normal equation error (CGNE) methods are applicable, we can solve the systems in O(2n log(n)) operations, by using the fast wavelet transform and the fast Fourier transform.
&lt;/p&gt;
</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Hasna CHEBBAH</style></author><author><style face="normal" font="default" size="100%">Abdelaziz Mennouni</style></author><author><style face="normal" font="default" size="100%">Nedjem-Eddine Ramdani</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Numerical Solution of Generalized Logarithmic Integral Equations of the Second Kind by Projections</style></title><secondary-title><style face="normal" font="default" size="100%">Malaysian Journal of Mathematical Sciences</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">349–367</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	In this work, we present a new techniques to solve the integral equations of the second kind with logarithmic kernel. First, we show the existence and uniqueness of the solution for the given problem in a Hilbert space. Next, we discuss a projection method for solving integral equations with logarithmic kernel of the second kind; the present method based on the shifted Legendre polynomials. We examine the existence of the solution for the approximate equation, and we provide a new error estimate for the numerical solutions. At the end, numerical examples are provided to illustrate the theoretical results.
&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Abdelaziz Mennouni</style></author><author><style face="normal" font="default" size="100%">Saliha Zaouia</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Discrete septic spline quasi-interpolants for solving generalized Fredholm integral equation of the second kind via three degenerate kernel methods</style></title><secondary-title><style face="normal" font="default" size="100%">Mathematical Sciences</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">345-357</style></pages><isbn><style face="normal" font="default" size="100%">2251-7456</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">4</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Abdelaziz Mennouni</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind in L2</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Computational and Applied Mathematics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><publisher><style face="normal" font="default" size="100%">Elsevier</style></publisher><volume><style face="normal" font="default" size="100%">326</style></volume><pages><style face="normal" font="default" size="100%">268-272</style></pages><isbn><style face="normal" font="default" size="100%">0377-0427</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Belkacem Aksas</style></author><author><style face="normal" font="default" size="100%">Salah-eddine Rebiai</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Uniform stabilization of the fourth order Schrödinger equation</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Mathematical Analysis and Applications</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><publisher><style face="normal" font="default" size="100%">Elsevier</style></publisher><volume><style face="normal" font="default" size="100%">446</style></volume><pages><style face="normal" font="default" size="100%">1794-1813</style></pages><isbn><style face="normal" font="default" size="100%">0022-247X</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">2</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Belkacem Aksas</style></author><author><style face="normal" font="default" size="100%">Salah-eddine Rebiai</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Stabilization of the Fourth Order Schrödinger Equation</style></title><secondary-title><style face="normal" font="default" size="100%">New Trends in Analysis and Interdisciplinary Applications</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><pages><style face="normal" font="default" size="100%"> 529-535</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	We study both boundary and internal stabilization problems for the fourth order Schrödinger equation in a smooth bounded domain&amp;nbsp;Ω&amp;nbsp;of&amp;nbsp;R&lt;sup&gt;n&lt;/sup&gt;.&amp;nbsp;We first consider the boundary stabilization problem. By introducing suitable dissipative boundary conditions, we prove that the solution decays exponentially in an appropriate energy space. In the internal stabilization problem, by assuming that the damping term is effective on the neighborhood of the boundary, we prove the exponential decay of the L&lt;sup&gt;2&lt;/sup&gt;(Ω)-energy of the solution. Both results are established by using multipliers technique and compactness/uniqueness arguments.
&lt;/p&gt;
</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Abdelaziz Mennouni</style></author><author><style face="normal" font="default" size="100%">Saliha Zaouia</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Discrete septic spline quasi-interpolants for solving generalized Fredholm integral equation of the second kind via three degenerate kernel methods</style></title><secondary-title><style face="normal" font="default" size="100%">Mathematical Sciences</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">345–357</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	Three main contributions are presented in this paper. First, the septic quasi-interpolants are calculated with all their coefficients. Second, we explore the results to solve a generalized and broad class of Fredholm integral equations of the second kind. Finally, we present three degenerate kernel methods; the latter is a combination of the two previously established methods in the literature. Moreover, we provide a convergence analysis and we give new error bounds. Finally, we exhibit some numerical examples and compare them with previous results in the literature.
&lt;/p&gt;
</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Abdelaziz Mennouni</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind in L&lt;sup&gt;2&lt;/sup&gt;</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Computational and Applied Mathematics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><volume><style face="normal" font="default" size="100%">326</style></volume><pages><style face="normal" font="default" size="100%">268-272</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	In this work, we present piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind with&amp;nbsp;constant coefficients&amp;nbsp;in&amp;nbsp;L&lt;sup&gt;2&lt;/sup&gt;([0,1],C), using a sequence of orthogonal finite rank projections. We prove the&amp;nbsp;existence and uniqueness theorems&amp;nbsp;for the Cauchy integral equation and the approximate equation, respectively. We perform the error analysis for which we give new and improved estimates for the rates of convergence. Numerical example illustrates the theoretical results.
&lt;/p&gt;
</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Abdelaziz Mennouni</style></author><author><style face="normal" font="default" size="100%">Abderrahmane Youkana</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FINITE TIME BLOW-UP OF SOLUTIONS FOR A NONLINEAR SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Electronic Journal of Differential Equations</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><volume><style face="normal" font="default" size="100%">2017</style></volume><pages><style face="normal" font="default" size="100%">1–15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">152</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Farida Lombarkia</style></author><author><style face="normal" font="default" size="100%">Mohamed Amouch</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Asymmetric Fuglede Putnam&amp;#39;s Theorem for operators reduced by their eigenspaces</style></title><secondary-title><style face="normal" font="default" size="100%">FILOMAT</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	Fuglede-Putnam Theorem have been proved for a considerably large number of class of operators. In this paper by using the spectral theory, we obtain a theoretical and general framework from which Fuglede-Putnam theorem may be promptly established for many classes of operators.
&lt;/p&gt;
</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Farida Lombarkia</style></author><author><style face="normal" font="default" size="100%">Mohamed Amouch</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Asymmetric Fuglede Putnam's Theorem for operators reduced by their eigenspaces</style></title><secondary-title><style face="normal" font="default" size="100%">arXiv preprint arXiv:1603.07494</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2016</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Salah-eddine Rebiai</style></author><author><style face="normal" font="default" size="100%">Ali, FZ Sidi</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Uniform exponential stability of the transmission wave equation with a delay term in the boundary feedback</style></title><secondary-title><style face="normal" font="default" size="100%">IMA Journal of Mathematical Control and Information</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2016</style></year></dates><publisher><style face="normal" font="default" size="100%">OUP</style></publisher><volume><style face="normal" font="default" size="100%">33</style></volume><pages><style face="normal" font="default" size="100%">1-20</style></pages><isbn><style face="normal" font="default" size="100%">0265-0754</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">1</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Salah-eddine Rebiai</style></author><author><style face="normal" font="default" size="100%">Fatima Zohra Sidi-Ali</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Uniform exponential stability of the transmission wave equation with a delay term in the boundary feedback</style></title><secondary-title><style face="normal" font="default" size="100%">IMA Journal of Mathematical Control and Information</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2016</style></year></dates><volume><style face="normal" font="default" size="100%">33</style></volume><pages><style face="normal" font="default" size="100%">1 - 20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	We consider a system of transmission of the wave equation with Neumann feedback control that contains a delay term and acts on the exterior boundary. First, we prove under some assumptions that the closed-loop system generates a C 0 -semigroup of contractions on an appropriate Hilbert space. Then, under further assumptions, we show that the closed-loop system is exponentially stable. To establish this result, we introduce a suitable energy function and use multiplier method together with an estimate taken from Lasiecka &amp;amp; Triggiani (1992, Appl. Math. Optim., 25, 189–244.) (Lemma 7.2) and compactness-uniqueness argument.
&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue></record></records></xml>