@article {98337,
	title = {A New Generalization of Fuglede\&$\#$39;s Theorem and Operator Equations},
	journal = {Nonlinear Dynamics \& Systems Theory},
	volume = {24},
	number = {6},
	year = {2024},
	pages = {603-614},
	abstract = {
	The article focuses on the generalization of Fuglede{\textquoteright}s theorem and the solvability of operator equations. Topics include extending Fuglede{\textquoteright}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.

},
	url = {https://web.p.ebscohost.com/abstract?site=ehost\&scope=site\&jrnl=15628353\&asa=N\&AN=182139972\&h=Yd0JWkZKQ8pGnZHPtRHr44mbkn5b78pBBt8ZF4VTo9BjbpgUdruttJbv0Fu0S2vMI20OOigqSExxZYLrEK65OQ\%3d\%3d\&crl=c\&resultLocal=ErrCrlNoResults\&resultNs=Ehost\&crlhashurl=login.as},
	author = {Makhlouf, Seddik and Lombarkia, F}
}
