| 相对于紧拓朴半群上的概率测度的组合收敛序列的集S_O■的若干性质 |
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| 引用本文： | 刘锦萼. 相对于紧拓朴半群上的概率测度的组合收敛序列的集S_O■的若干性质[J]. 湖北师范学院学报(自然科学版), 1989, 0(2) |
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| 作者姓名： | 刘锦萼 |
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| 摘 要： | 本文探讨紧拓朴群上概率测度的合成收敛序列的极限性质能否扩展到紧拓朴半群上去。作为第一阶段的工作、着重研究了子集S_0=_λ∈V~USλ的性质。得到的主要结果是: ①S_0是完全简单半群(即为含有本原幂等元的简单半群) ②设μ_n∈p(s)、(n=1、2、…),μh.n→λh(K≥1)则对任何开集US_0,有 K→∞ λ_k(U)=1 ③设μ_n∈P(s)、(n=1、2、…),μ_k.m→λh(K≥1)则对任何开集US_0, K→∞ μ_km(UU~(-1))=1当m>K时一致成立。
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| 关 键 词： | 紧拓朴半群 概率测度的卷积 支撑集 完全简单半群 |
SOME PROPERTIES OF |SET s~0? ON COMPACT TOPOLOGICAL SEMIGRONP |
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| Liu Jine. SOME PROPERTIES OF |SET s~0? ON COMPACT TOPOLOGICAL SEMIGRONP[J]. Journal of Hubei Normal University(Natural Science), 1989, 0(2) |
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| Authors: | Liu Jine |
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| Affiliation: | Hubei Normal University |
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| Abstract: | In this Paper, The Problem of weak convergence of sequence has been considered, where is a sequence of probability measures on compact topological sem igroup.Main resultin the paper is. is a completely simple semigroup. |
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| Keywords: | Compact topological semigroup converlution of probability measures completely simple semigroup support set. |
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