On the Isometric Isomorphism of Probabilistic Metric Spaces

LIU Ming-xue

Volume 23 Issue 5

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LIU Ming-xue. On the Isometric Isomorphism of Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(5): 548-550.

Citation:

LIU Ming-xue. On the Isometric Isomorphism of Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(5): 548-550.

Citation:

LIU Ming-xue. On the Isometric Isomorphism of Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(5): 548-550.

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On the Isometric Isomorphism of Probabilistic Metric Spaces

LIU Ming-xue

Department of Mathematics, Changsha University, Changsha 410003, P R China

Received Date: 1999-12-15
Rev Recd Date: 2001-11-20
Publish Date: 2002-05-15

Abstract

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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References(12)

References

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