F. Lombarkia

collaborators

2 papers

math.FA2025

Solvability of The Operator Equations $A X - X B = C$ and $A X - Y B = C$

Farida Lombarkia, Assia Bezai, Néstor Thome

This paper provides new necessary and sufficient conditions for the solvability to the operator equations $A X - X B = C$ and $A X - Y B = C,$ where $A$ and $B$ are group invertible operato…

math.FA2016

Asymmetric Fuglede Putnam's Theorem for operators reduced by their eigenspaces

Farida Lombarkia, Mohamed Amouch

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 frame…

Solvability of The Operator Equations AX−XB=C and AX−YB=C

Asymmetric Fuglede Putnam's Theorem for operators reduced by their eigenspaces

Solvability of The Operator Equations $A X - X B = C$ and $A X - Y B = C$