On the isometric isomorphism of probabilistic metric spaces

There are two kinds of isometric isomorphism in probabilistic metric 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. Foundation item: the Foundation of Education Committee of Fujian Province (JA99156) Biography: LIU Ming-xue (1954-), Professor