Results 81 to 90 of about 326,752 (99)

EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
In this paper, the well-known Egoroff's theorem in classical measure theory is established on monotone non-additive measure spaces. Taylor's theorem, which concerns almost everywhere convergence of measurable function sequence in classical measure theory, is also generalized.
Jun Li 0014, Masami Yasuda
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A Remark on the Theorems of Lusin and Egoroff

Canadian Mathematical Bulletin, 1964
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.
openaire   +1 more source

Conditions for Egoroff's theorem in non-additive measure theory

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toshiaki Murofushi, Kenta Uchino, Shin Asahina   +2 more
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Some notes on monotone set-valued measures and Egoroff's theorem

Fuzzy Sets and Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Egoroff’s theorem

Tatra Mountains Mathematical Publications, 2009
Abstract This note is closely related to the paper [R. Pinciroli: On theindependence of a generalized statement of Egoroff’s theorem from ZFC afterT. Weiss, Real Anal. Exchange 32 (2006-2007), 225-232] and it presents slight improvements of its results.
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On Egoroff's theorems on fuzzy measure spaces

Fuzzy Sets and Systems, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Egoroff's theorems on finite monotone non-additive measure space

Fuzzy Sets and Systems, 2005
The paper continues and develops the investigation of the Egoroff theorem for finite fuzzy measures (non-additive measures) originated in [\textit{J. Li}, Kybernetika 39, No. 6, 753--760 (2003)]. Four versions of the Egoroff theorem are presented and the connections between some special properties of fuzzy measures are discussed.
Jun Li 0014, Masami Yasuda
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The Theorems of Lusin and Egoroff

1971
A real-valued function f on R is called measurable if f−1(U) is measurable for every open set U in R. f is said to have the property of Baire if f −1 (U) has the property of Baire for every open set U in R. In either definition, U may be restricted to some base, or allowed to run over all Borel sets.
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The Egoroff property and the Egoroff theorem in Riesz space-valued non-additive measure theory

Fuzzy Sets and Systems, 2007
The author obtains some extensions of Egoroff's condition to non-additive, Riesz space valued measures. Here \(\mathcal{F}\) is a \(\sigma\)-algebra of subsets of \(X\), \(V\) is a Riesz space and \(\mu: \mathcal{F} \to V\) is a non-additive measure, which means it is monotone with \( \mu(\emptyset) =0\).
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New Conditions for the Egoroff Theorem in Non-additive Measure Theory

2010
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, Toshiaki Murofushi
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