\(D\)-boundedness and \(D\)-compactness in finite-dimensional probabilistic normed spaces

DOI10.1007/BF02829810zbMath1096.46048arXivmath/0512323OpenAlexW2951309304MaRDI QIDQ812174

Reza Saadati, Massoud Amini

Publication date: 23 January 2006

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512323

Mathematics Subject Classification ID

Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (10)

Quotient probabilistic normed spaces and completeness results ⋮ On \(\alpha\)-Šerstnev probabilistic normed spaces ⋮ Best approximation on probabilistic normed spaces ⋮ Probabilistic \(n\)-normed spaces, \(\mathcal D\)-\(n\)-compact sets and \(\mathcal D\)-\(n\)-bounded sets ⋮ Linear operators in finite dimensional probabilistic normed spaces ⋮ Strong \(\Gamma\)-statistical convergence in probabilistic normed spaces ⋮ On the normability of generalized Šerstnev PN spaces ⋮ On random topological structures ⋮ Strong ideal convergence in probabilistic metric spaces ⋮ StatisticallyD-bounded sequences in probabilistic normed spaces

Cites Work

• On the definition of a probabilistic normed space
• Continuity properties of probabilistic norms
• A metric for weak convergence of distribution functions
• A study of boundedness in probabilistic normed spaces
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