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arXiv:math/0512323 [math.FA]AbstractReferencesReviewsResources

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

Reza Saadati, Massoud Amini

Published 2005-12-14Version 1

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.

Comments: 10 pages
Journal: Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 483-492
Categories: math.FA, math.GN
Subjects: 46S50, 54E70
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