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.

On the Isometric Isomorphism of Probabilistic Metric Spaces

  • Received Date: 1999-12-15
  • Rev Recd Date: 2001-11-20
  • Publish Date: 2002-05-15
  • 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,dr,r(0,1)).This paper establishes the connection between the two kinds of isometric isomorphism.
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