The Egoroff property and the Egoroff theorem in Riesz space-valued non-additive measure theory

DOI10.1016/j.fss.2006.09.019zbMath1117.28013OpenAlexW1998638425MaRDI QIDQ868282

Jun Kawabe

Publication date: 2 March 2007

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2006.09.019

zbMATH Keywords

uniform autocontinuity

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Fuzzy measure theory (28E10)

Related Items (13)

Egoroff's theorems for random sets on non-additive measure spaces ⋮ The Choquet integral in Riesz space ⋮ Pseudo-Convergences of Sequences of Measurable Functions on Monotone Multimeasure Spaces ⋮ Regularity and Lusin's theorem for Riesz space-valued fuzzy measures ⋮ On sufficient condition for the Egoroff theorem of an ordered vector space-valued non-additive measure ⋮ On sufficient conditions for the Egoroff theorem of an ordered topological vector space-valued non-additive measure ⋮ The Alexandroff theorem for Riesz space-valued non-additive measures ⋮ The continuity and compactness of Riesz space-valued indirect product measures ⋮ A set-valued Egoroff type theorem ⋮ Convergence theorems for monotone measures ⋮ Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals ⋮ Generalized convergence theorems for monotone measures ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect—

Cites Work

• The Egoroff theorem for non-additive measures in Riesz spaces
• Convergence of sequence of measurable functions on fuzzy measure spaces
• On Egoroff's theorems on finite monotone non-additive measure space
• Order continuous of monotone set function and convergence of measurable functions sequence
• On Egoroff's theorems on fuzzy measure spaces
• Conditions for Egoroff's theorem in non-additive measure theory
• Property (S) of fuzzy measure and Riesz theorem
• The measure extension problem for vector lattices
• A Direct Proof of the Matthes-Wright Integral Extension Theorem
• EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES
• Seminorms and the Egoroff Property in Riesz Spaces
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