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ON EGOROFF'S THEOREM FOR NON-ADDITIVE MULTI MEASURES (Nonlinear Analysis and Convex Analysis)
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A set-valued Egoroff type theorem
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Alina Gavrilut
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New Conditions for the Egoroff Theorem in Non-additive Measure Theory
This paper gives a new necessary condition and a new sufficient condition for the Egoroff theorem in non-additive measure theory. The new necessary condition is condition (M), which is newly defined in this paper, and the new sufficient condition is the conjunction of null continuity and condition (M).
Masayuki Takahashi, Takahashi Masayuki
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Toshikazu Watanabe
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Toshikazu Watanabe
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Ideal generalizations of Egoroff’s theorem
Archive for Mathematical Logic, 2020We investigate the classes of ideals for which the Egoroff’s theorem or the generalized Egoroff’s theorem holds between ideal versions of pointwise and uniform convergences. The paper is motivated by considerations of Korch (Real Anal Exchange 42(2):269–282, 2017).
Miroslav Repický
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Egoroff’s theorem and Lusin’s theorem for complex uncertain sequences
Journal of Intelligent and Fuzzy Systems, 2022Complex uncertain variables are measurable functions from uncertainty spaces to the set of complex numbers and are used to model complex uncertain quantities. In this paper, we investigate Egoroff’s theorem and Lusin’s theorem for complex uncertain sequences. For studying these theorems, we introduce two concepts: strongly order continuous and regular.
Zhaojun Zong, Feng Hu
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A Remark on the Theorems of Lusin and Egoroff
In this note we do not intend to establish new results but only to suggest a very simple proof of Lusin's theorem, direct for σ-finite regular measures, a proof that bypasses the usual procedure of first establishing this theorem for sets of finite measure only.
Elias Zakon
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Some notes on monotone set-valued measures and Egoroff's theorem
Fuzzy Sets and Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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