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| 关于概率准度量族空间的等距同构 | |
| 引用本文： | 刘明学,郭铁信.关于概率准度量族空间的等距同构[J].数学研究,1998,31(4):381-387. |
| 作者姓名： | 刘明学 郭铁信 |
| 作者单位： | 福建师范大学数学系!福州，350007，厦门大学数学系!厦门，361005 |
| 摘 要： | 引入了带指标的准度量族空间的概念，讨论了带指标的准度族空间与概率准度量族空间和随机准度量族空间之间的关系，建立了这些空间的一些性质，研究了这些空间的等矩同构． |
| 关 键 词： | 概率度量空间 准度量族空间 随机准度量族空间 概率准度量族空间 等距同构 |
On the Isometrical Isomorphism of Probabilistic Quasi-Metric Family Spaces |
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| Liu Mingxue, Guo Tiexin.On the Isometrical Isomorphism of Probabilistic Quasi-Metric Family Spaces[J].Journal of Mathematical Study,1998,31(4):381-387. | |
| Authors: | Liu Mingxue Guo Tiexin |
| Abstract: | in this paper, we introduce the concepts of quasi-metric family spaces with an index set, and discuss the relationship between quasi-metric family spaces with an index set, probabilistic quasi-metric family spaces and random quasi-metric family spaces. We develop some properties of the preceding spaces and study the isometrical isomorphism between these spaces. |
| Keywords: | Probabilistic metric space quasi-metric family space with an index set random quasi-metric family space probabilistic quasi-metric family space isometrical isomorphism |
| 本文献已被 CNKI 维普 等数据库收录！ | |