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

Reza Saadati·Massoud Amini
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Abstract

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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Reza Saadati, Massoud Amini. 2005-12-14. $\pmb{D}$-boundedness and $\pmb{D}$-compactness in finite dimensional probabilistic normed spaces. https://arxiv.org/abs/math/0512323

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