Probabilistic normed Riesz spaces

DOI10.1007/s10114-012-0305-yzbMath1260.46059OpenAlexW1996738272MaRDI QIDQ1757964

Celaleddin Şençimen, Serpil Pehlivan

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0305-y

zbMATH Keywords

strong convergenceorder convergenceprobabilistic Banach latticeprobabilistic norm Cauchy systemprobabilistic normed Riesz space

Mathematics Subject Classification ID

Banach lattices (46B42) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (3)

Order continuous probabilistic Riesz norms ⋮ On cluster points, continuity, and boundedness associated with the generalized statistical convergence in probabilistic normed spaces ⋮ Stability of preserving lattice cubic functional equation in Menger probabilistic normed Riesz spaces

Cites Work

• Relations between some basic results derived from two kinds of topologies for a random locally convex module
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• Probabilistic norms for linear operators
• On the definition of a probabilistic normed space
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• A short and partial history of probabilistic normed spaces
• A new contraction principle in Menger spaces
• Concrete representation of abstract (L)-spaces and the mean ergodic theorem
• On the theory of probabilistic metric spaces with applications
• Convergence of elements in random normed spaces
• On Almost Sure Convergence in Linear Spaces of Random Variables
• Probabilistic Geometry
• A study of boundedness in probabilistic normed spaces
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