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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106224In 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.10 pagesFunctional AnalysisGeneral Topology46S50; 54E70$\pmb{D}$-boundedness and $\pmb{D}$-compactness in finite dimensional probabilistic normed spacestext