| 完备赋准范空间上一类无界线性随机算子的谱分解定理 |
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| 引用本文： | 巩馥洲. 完备赋准范空间上一类无界线性随机算子的谱分解定理[J]. 数学进展, 1994, 23(5): 432-438 |
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| 作者姓名： | 巩馥洲 |
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| 作者单位： | 西北大学数学系，中国科学院应用数学所 |
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| 摘 要： | 本文利用随机内积空间方法给出了完备赋准范空间上一类无界线性随机算子的谱分解定理。此结果不仅推广了对称随机线性算子的谱分解定理，而且限于原情形也使其处理简明、清晰。
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| 关 键 词： | 赋准范空间 线性随机算子 谱分解 |
The Spectral Decomposition Theorems for a Certain Class of Unbounded Linear Random Operator in Complete Quasi-normed Linear Spaces |
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| Gong Fuzhou. The Spectral Decomposition Theorems for a Certain Class of Unbounded Linear Random Operator in Complete Quasi-normed Linear Spaces[J]. Advances in Mathematics(China), 1994, 23(5): 432-438 |
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| Authors: | Gong Fuzhou |
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| Abstract: | The spectral decomposition theorems for a certain class unbounded linear random operators in complete quasi-normed linear spaces are given by the method of random inner product spaces; Results in this paper are not only the gene-ralizations of the spectral decomposition theorem for symmetric random linear oper-ators.but also the simplify the treatment of symmetric random linear operators by A. V. Skorohod. |
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| Keywords: | quasi-normed linear spaces unbounded linear random operators spectral Decomposition |
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