| 局部凸空间上的可分解算子及其对偶理论 |
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| 引用本文： | 李杨荣.局部凸空间上的可分解算子及其对偶理论[J].西南师范大学学报(自然科学版),1991,16(2):159-166. |
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| 作者姓名： | 李杨荣 |
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| 作者单位： | 西南师范大学数学系 |
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| 摘 要： | 本文研究局部凸空间中线性算子的谱理论,在局部凸空间中证明了谱可分解算子与可分解算子的等价性,并进一步研究了局部凸空间上的可分解算子的对偶理论.
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| 关 键 词： | 局部凸空间 可分解算子 对偶 谱 |
DECOMPOSABLE OPERATORS ON A LOCALLY CONVEX SPACE AND THEIR DUALITY THEORY |
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| Li Yangrong.DECOMPOSABLE OPERATORS ON A LOCALLY CONVEX SPACE AND THEIR DUALITY THEORY[J].Journal of Southwest China Normal University(Natural Science),1991,16(2):159-166. |
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| Authors: | Li Yangrong |
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| Institution: | Southwest China Teachers University |
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| Abstract: | In this paper, the definitions of decomposable operators and spectrum decomposable operators on a locally convex space were given, the equivalence of two operators was proved. Some results on duality theory of decomposable operators on a locally convex space were obtained. |
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| Keywords: | spectrum local spectrum full spectrum decomposable operator spectrum decomposable operator |
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