On the definition of a probabilistic normed space
Copyright policy )On the definition of a probabilistic normed space
It is given a new definition of a probabilistic normed space. Before the definition the authors somewhat change equivalently the axioms of a usual norm. The given definition includes the earlier definition of A. N. Serstnev as a special case and leads naturally to the definition of the principal class of probabilistic normed spaces, the Menger spaces.
- DigiZeitschriften Germany
- University of Massachusetts System United States
- University of Massachusetts Amherst United States
- Illinois Institute of Technology United States
- Universitat Politècnica de Catalunya Spain
Probability theory on linear topological spaces, Topological spaces with richer structures, Article, 510.mathematics, Functional analysis in probabilistic metric linear spaces, Menger spaces, Probabilistic methods in Banach space theory, probabilistic normed space
Probability theory on linear topological spaces, Topological spaces with richer structures, Article, 510.mathematics, Functional analysis in probabilistic metric linear spaces, Menger spaces, Probabilistic methods in Banach space theory, probabilistic normed space
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