$\pmb{D}$-boundedness and $\pmb{D}$-compactness in finite dimensional probabilistic normed spaces

Details $\pmb{D}$-boundedness and $\pmb{D}$-compactness in finite dimensional probabilistic normed spaces $\pmb{D}$-boundedness and $\pmb{D}$-compactness in finite dimensional probabilistic normed spaces

2005-12-14

arxiv.org/abs/math/0512323v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 483-492

Mathematics

Functional Analysis

10 pages

Scientific paper

In this paper, we prove that in a finite dimensional probabilistic normed
space, every two probabilistic norms are equivalent and we study the notion of
$D$-compactness and $D$-boundedness in probabilistic normed spaces.

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