Wang Shushi.QUOTIENTS OF STRONGLY S-DECOMPOSABLE OPERATORS[J].Chinese Annals of Mathematics B,1986,7(2):243~250
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Authors：
Wang Shushi;
Abstract：
This paper shows that it $\[T \in C(X)\]$ is strongly S-decomposable, where S is a closed subset of $\[{\sigma _c}(T)\]$ and $\[S \ne {C_\infty }\]$, then for any (e) spectral maximal subspace Y of T, $\[{T^Y}\]$ is a closed strongly $\[S \cap {\sigma _c}({T^Y})\]$-decomposable operator.
