| SOME PROPERTIES OF SUPER-DECOMPOSABLE OPERATORS |
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| 引用本文： | 卫瑞霞,徐平五. SOME PROPERTIES OF SUPER-DECOMPOSABLE OPERATORS[J]. 苏州大学学报(医学版), 1990, 6(2): 131-135 |
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| 作者姓名： | 卫瑞霞 徐平五 |
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| 作者单位： | Mathematics Department，Mathematics Department |
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| 摘 要： | In this paper,the following main resvlts have been proved:1.Let T∈B(X) be a super-decomposable operator,then for any hyperinvariant subspace Y of T,the operator T/Y is super-decomposable.2.The operator T∈B(X) is super-decomposable if and only if T/Y is super-decomposable for any hyperinvariant subspace Y of T.3. If T∈B(X) has on open spectral resolvent,then T is superdecomposable.
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| 关 键 词： | 超可分解算子 超不变子空间 开谱预解式 Banach空间 |
SOME PROPERTIES OF SUPER-DECOMPOSABLE OPERATORS |
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| Wei Reixia Xu Pingwu Mathematics Department. SOME PROPERTIES OF SUPER-DECOMPOSABLE OPERATORS[J]. Journal of Suzhou University(Natural Science), 1990, 6(2): 131-135 |
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| Authors: | Wei Reixia Xu Pingwu Mathematics Department |
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| Affiliation: | Wei Reixia Xu Pingwu Mathematics Department |
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| Abstract: | |
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| Keywords: | super-decomposable operator hyperinvariant subspace open spectral resolvent. |
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