<?xml version="1.0" encoding="UTF-8"?><xml><records><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%">Makhlouf, Seddik</style></author><author><style face="normal" font="default" size="100%">Lombarkia, F</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A New Generalization of Fuglede&amp;#39;s Theorem and Operator Equations</style></title><secondary-title><style face="normal" font="default" size="100%">Nonlinear Dynamics &amp; Systems Theory</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2024</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://web.p.ebscohost.com/abstract?site=ehost&amp;scope=site&amp;jrnl=15628353&amp;asa=N&amp;AN=182139972&amp;h=Yd0JWkZKQ8pGnZHPtRHr44mbkn5b78pBBt8ZF4VTo9BjbpgUdruttJbv0Fu0S2vMI20OOigqSExxZYLrEK65OQ%3d%3d&amp;crl=c&amp;resultLocal=ErrCrlNoResults&amp;resultNs=Ehost&amp;crlhashurl=login.as</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">24</style></volume><pages><style face="normal" font="default" size="100%">603-614</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;
	The article focuses on the generalization of Fuglede's theorem and the solvability of operator equations. Topics include extending Fuglede's theorem to non-normal operators, deriving criteria for solving operator equations such as AX − XB = C, and using inner inverses to establish necessary and sufficient conditions for operator equation solutions.
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</style></abstract><issue><style face="normal" font="default" size="100%">6</style></issue></record></records></xml>