| Banach空间中的囿变算子序列及算子级数理论 |
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| 引用本文： | 杨翰深.Banach空间中的囿变算子序列及算子级数理论[J].西南科技大学学报,1991(1). |
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| 作者姓名： | 杨翰深 |
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| 作者单位： | 四川建材学院基础部 |
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| 摘 要： | 本文〔6〕讨论了Banach空间中抽象级数的收敛性,文〔7〕在Banach空间中构造并研究了抽象的幂级数;本文则在赋范空间中提出了囿变算子序列、一致囿变算子和算子级数收敛等概念,得出了算子级数收敛或一致收敛的一系列定理。
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| 关 键 词： | Banach空间 囿变算子序列 一致囿变算子序列 算子级数收敛 算子级数一致收敛 |
Operator of Bounded Variation and the Theory of Operator Series on Banach Spaces |
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| Yang Hanshen.Operator of Bounded Variation and the Theory of Operator Series on Banach Spaces[J].Journal of Southwest University of Science and Technology,1991(1). |
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| Authors: | Yang Hanshen |
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| Institution: | Dept. of basic courses |
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| Abstract: | ln this paper we devolop some of the basic concepts, concerning the theory of. operator series on Banach spaces, which are the sequence of operators of(uniform)bounded variation, the operator-series and its (uniform)convergence, etc. At the same time we give several convergence tests of the series on Banach spaces. |
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| Keywords: | Banach space sequence of operators of bounded variation ( uniformly ) convergence of operators-series |
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