On the Isometric Isomorphism of Probabilistic Metric Spaces

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(5): 548-550

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.

[1]	Menger K,Schweizer B,Sklar A.On probabilistic metrics and numerical metrics with probability 1[J].Czechoslovak Math J,1959,9(84):459-466.
[2]	Sherwood H.On E spaces and their relation to other classes of probabilistic metric spaces[J].J London Math Soc,1969,44:441-448.
[3]	Sherwood H.On the completion of probabilistic metric spaces[J].Z Wahr Verw Geb,1966,6:62-64.
[4]	Stevens R.Metrically generated prodabilistic metric spaces[J].Fund Math,1968,61:259-269.
[5]	游兆永,朱林户.概率度量空间的等距度量化[J].中国科学,A辑,1989,(1):19-24.
[6]	方锦暄.关于概率度量空间的等距度量化的注记[J].科学通报,1990,35(22):1701-1703.
[7]	游兆永,朱林户.概率度量空间的最佳弱t-模[J].科学通报,1991,36(1):10-11.
[8]	刘明学,游兆永.一般概率度量空间的等距度量化[J].科学通报,1995,40(18):1636-1638.
[9]	刘明学,游兆永.关于概率度量空间的等距度量化[J].科学通报,1997,42(4):362-364.
[10]	Sherwood H,Taylor M D.Some PM structures on the set of distribution functions[J].Rev Roum Math et Appl,1974,19(10):1251-1260.
[11]	张石生.概率度量空间的基本理论及应用(I)[J].应用数学和力学,1988,9(2):117-126.
[12]	Schweizer B,Sklar A.Probabilistic Metrics Spaces[M].New York:Amsterdam,Oxford:North-Holand,1983.