English

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

Functional Analysis 2007-05-23 v1 General Topology

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 DD-compactness and DD-boundedness in probabilistic normed spaces.

Keywords

Cite

@article{arxiv.math/0512323,
  title  = {$\pmb{D}$-boundedness and $\pmb{D}$-compactness in finite dimensional probabilistic normed spaces},
  author = {Reza Saadati and Massoud Amini},
  journal= {arXiv preprint arXiv:math/0512323},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T17:28:40.617Z