| 局部凸空间上的H算子和预谱算子 |
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| 引用本文： | 唐春雷. 局部凸空间上的H算子和预谱算子[J]. 西南师范大学学报(自然科学版), 1988, 0(4) |
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| 作者姓名： | 唐春雷 |
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| 作者单位： | 西南师范大学数学系 |
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| 摘 要： | 众所周知,Hermite算子在Baach止空间上的预谱算子理论中是十分重要的.将Hermite算子推广到局部凸空间上去比较困难 经研究发现,可用Hermite等价算子代替Hermite算子来研究预谱算子.而Hermite等价算子可推广到局部凸空间上去.称之为H算子.本文利用H算子来研究局部凸空间上的预谱算子.
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| 关 键 词： | 谱 谱半径 H算子 预谱算子 单位分解 准谱算子 纯量算子 |
H OPERATORS AND PRESPECTRAL OPERATORS ON LOCALLY CONVEX SPACES |
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| TANG CHinLEi. H OPERATORS AND PRESPECTRAL OPERATORS ON LOCALLY CONVEX SPACES[J]. Journal of southwest china normal university(natural science edition), 1988, 0(4) |
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| Authors: | TANG CHinLEi |
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| Affiliation: | Southewst-China Teachers Universty |
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| Abstract: | It is well-known that Hermitian operators are quite important in the of prespectral operators on Banach spaces. It is very difficult to extend Hermitian operators on locally convex spaces. The author has proved that it is possible to use "Herimtian-equivalent operators" in place of "Hermite operators" to study the prespectral operators on Banach spaces. However, it is possible to extend Hermitian-equivalent operators on locally convex spaces and they are called H operators. In this paper. H opeators are used to study the prespectral operators on locally convex spaces. |
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| Keywords: | spectrum spectral radius H operators prespectral operators resolution of the identity puasispectral operators scalar-type operators |
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