paper

-boundedness and -compactness in finite dimensional probabilistic normed spaces

arXiv:math/0512323

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 -compactness and -boundedness in probabilistic normed spaces.

10 pages

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