| QUOTIENTS OF STRONGLY S-DECOMPOSABLE OPERATORS |
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| 引用本文： | Wang Shushi. QUOTIENTS OF STRONGLY S-DECOMPOSABLE OPERATORS[J]. 数学年刊B辑(英文版), 1986, 7(2): 243-250 |
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| 作者姓名： | Wang Shushi |
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| 作者单位： | Huzhou Normal |
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| 摘 要： | This paper shows that if T∈C(X)is strongly S-decomposable,where S is a closedsubset of σ_(T)and S≠C_∞,then for any(e)spectral maximal subspace Y of T,T~Y is aclosed strongly S∩σ_(T~Y)-decomposable operator.
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| 收稿时间： | 1983-10-11 |
| 修稿时间： | 1984-08-01 |
QUOTIENTS OF STRONGLY S-DECOMPOSABLE OPERATORS |
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| Wang Shushi. QUOTIENTS OF STRONGLY S-DECOMPOSABLE OPERATORS[J]. Chinese Annals of Mathematics,Series B, 1986, 7(2): 243-250 |
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| Authors: | Wang Shushi |
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| Affiliation: | Huzhou Normal College, Huzhou, Zhejiang, China. |
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| 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. |
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