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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.FA2013
Generalized Browder's and Weyl's Theorems for Generalized Derivations
Enrico Boasso, Mohamed Amouch
Given Banach spaces $\X$ and $\Y$ and Banach space operators $A\in L(\X)$ and $B\in L(\Y)$, let $ρ\colon L(\Y,\X)\to L(\Y,\X)$ denote the generalized derivation defined by and…