F. Lombarkia

activity

20142025

most citedAsymmetric Fuglede Putnam's Theorem for operators reduced by their eigenspaces

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 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★ 1 cited

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…

math.SP2014

Some spectral properties for generalized derivations

Mohamed Amouch, Farida Lombarkia

Given Banach spaces $X$ and $Y$ and Banach space operators $A \in L (X)$ and $B \in L (Y) .$ The generalized derivation $δ_{A,B} \in L(L(\mathcal…

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

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

Some spectral properties for generalized derivations

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