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- W2273191844 abstract "In this paper, we show that for a bounded linear operator $T$, the corresponding generalized Kato decomposition spectrum $sigma_{gK}(T)$ satisfies the equality $sigma_{gD}(T)=sigma_{gK}(T)cup (S(T)cup S(T^*))$ where $sigma_{gD} (T ) $ is the generalized Drazin spectrum of $T$ and $S(T )$ (resp., $S(T^*)$ is the set where T (resp., $T^*$) fails to have SVEP. As application, we give sufficient conditions which assure that the generalized Kato decomposition spectrum of an upper triangular operator matrices is the union of its diagonal entries spectra. Moreover, some applications are given." @default.
- W2273191844 created "2016-06-24" @default.
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- W2273191844 date "2016-02-01" @default.
- W2273191844 modified "2023-09-27" @default.
- W2273191844 title "Generalized Kato Decomposition For Operator Matrices and SVEP" @default.
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