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

Mathematics – Functional Analysis

Scientific paper

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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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