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

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dc.creatorSaadati, Reza
dc.creatorAmini, Massoud
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:55:16Z
dc.date.available2026-07-07T06:55:16Z
dc.descriptionIn 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0512323
dc.identifierhttp://arxiv.org/abs/math/0512323
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 483-492
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106224
dc.subjectFunctional Analysis
dc.subjectGeneral Topology
dc.subject46S50; 54E70
dc.title$\pmb{D}$-boundedness and $\pmb{D}$-compactness in finite dimensional probabilistic normed spaces
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