Limit Behaviors of Composition Convergent Sequences of Probability Measures on Compact L-X Semigroups |
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作者姓名: | 刘锦萼 徐侃 |
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作者单位: | Hubei Teacher's College,Hubei Teacher's College |
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基金项目: | Supported partly by the National Natural Science Foundation of China. |
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摘 要: | Let S be a compact second countable Hausdorff topological semigroup. Denote byP(S) the set of all regular probability measures defined on S, and by E(S) the setof all idempotents in S. S is called a L-X semigroup if ex =xe for every e∈E(S)and x∈S. In this paper, the limit behaviors of composition convergent sequences ofprobability measures defined on compact L-X semigroups are studied. Since compact
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