Some spectral properties for generalized derivations

Mohamed Amouch, Farida Lombarkia

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