The Research of Random Structure Spaces

Yongfu Su · Acta Analysis Functionalis Applicata · 2002

In this paper, the Random structure spaces has been definitied. So that, the Random topolgy spaces, Random Metric spaces, Random Normed spaces, Random inner product spaces and the Random relations have been given. We studied the basic structures of Random Metric sapces, Random Normed spaces and Random inner product spaces and the relations with probabilistic Metric spaces, probabilistic Normed spaces and probabilistic inner product spaces.

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