Quotients of strongly S-decomposable operators (Q1084319)

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scientific article; zbMATH DE number 3977760
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Quotients of strongly S-decomposable operators
scientific article; zbMATH DE number 3977760

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    Quotients of strongly S-decomposable operators (English)
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    1986
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    This paper shows that if \(T\in C(X)\) is strongly S-decomposable, where S is a closed subset of \(\sigma_ e(T)\) and \(S\neq C_{\infty}\), then for any (e) spectral maximal subspace Y of T, \(T^ Y\) is a closed strongly \(S\cap \sigma_ e(T^ Y)\)-decomposable operator.
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    strongly S-decomposable
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    spectral maximal subspace
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