| 强可分解算子的对偶性质 |
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| 引用本文： | 侯学章,邹承祖. 强可分解算子的对偶性质[J]. 吉林大学学报(理学版), 1990, 0(1) |
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| 作者姓名： | 侯学章 邹承祖 |
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| 作者单位： | 东北师范大学数学系(侯学章)，吉林大学数学系(邹承祖) |
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| 摘 要： | 本文讨论了Banach空间上强可分解算子的对偶性质,建立了算子T与它的对偶算子T~在强可分解性方面的对偶定理。
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| 关 键 词： | 谱分解 可分解算子 对偶性质 |
The Dual Properties of Strongly Decomposable Operators |
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| Hou Xuezhang. The Dual Properties of Strongly Decomposable Operators[J]. Journal of Jilin University: Sci Ed, 1990, 0(1) |
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| Authors: | Hou Xuezhang |
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| Abstract: | In this paper,we investigate some new properties of decomposable operators, and take advantages of these properties to discuss and prove the dual theorem of strongly decomposable operators.The main results are as follws:1 Let T be a decomposable operator acting a Banach space, G be an open set in the complex plane, then2 Let T(resp. T~*) be a strongly decomposable operator, whose restriction on its Spectral maximal space has property a, then T~* (resp.T) is a strongly decomposable operator. |
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| Keywords: | spectral decomposition decomposable operator dual property |
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