关于概率度量空间的等距同构

基金项目: 福建省教育厅高等学校科技项目

On the Isometric Isomorphism of Probabilistic Metric Spaces

摘要: 概率度量空间理论中有两种等距同构,一种是一个概率度量空间等距同构于另一个概率度量空间.另一种是一个概率度量空间等距同于一个准度量族生成空间.该文建立了这两种等距同构之间的联系.
- 概率度量空间 /
- 准度量族生成空间 /
- 等距同构
Abstract: There are two kinds of isometric isomorpism in probabilistic meteric space theory.The first is that a PM space(E,F) is isometrically isomorphic to another PM space(E,F),and the second is that a PM space(E,F) is isometrically isomorphic to a generating space of quasi-metric family(E,d_r,r(0,1)).This paper establishes the connection between the two kinds of isometric isomorphism.
- probabilistic meteric space /
- generating space of quasi-metric family /
- isometric isomorphism

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