This paper is devoted to the investigation of the stability of some essential spectra of a closed linear relation T on a Banach space X, subjected to additive perturbations K… Click to show full abstract
This paper is devoted to the investigation of the stability of some essential spectra of a closed linear relation T on a Banach space X, subjected to additive perturbations K by imposing some conditions on $$(\lambda -T-K)^{-1}K$$(λ-T-K)-1K and $$K(\lambda -T-K)^{-1}$$K(λ-T-K)-1 in arbitrary subsets of $$L\mathcal{R}(X)$$LR(X).
               
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