Results 61 to 70 of about 107 (76)
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Egoroff’s theorem and maximal run length
Monatshefte Fur Mathematik, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhi-Ying Wen
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The Egoroff property and the Egoroff theorem in Riesz space-valued non-additive measure theory
Fuzzy Sets and Systems, 2007The 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 \( \mu(\emptyset) =0\).
Jun Kawabe
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The Egoroff theorem for non-additive measures in Riesz spaces
Fuzzy Sets and Systems, 2006For a \(\sigma\)-algebra \(\mathcal{F}\) on a set \(X\) and a Riesz space \(V\), an increasing mapping \(\mu: \mathcal{F} \to V\), with \( \mu(\emptyset) =0\) is called a non-additive measure. \(\mu\) is called continuous from below if \( A_{n} \downarrow A \) implies \(\mu( A_{n}) \downarrow \mu( A)\), and continuous from above if \( A_{n} \uparrow A \
Jun Kawabe
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Conditions for Egoroff's theorem in non-additive measure theory
Fuzzy Sets and Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toshiaki Murofushi +2 more
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On Egoroff's theorems on fuzzy measure spaces
Fuzzy Sets and Systems, 2003zbMATH 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, 2005The 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.
Masami Yasuda
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A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory
Fuzzy Sets and Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masayuki Takahashi, Masayuki Takahashi
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Measure Riesz spaces and the Egoroff theorem
, 1970 Thesis (Ph. D.)--Michigan State University.
Quinn, Joseph Edward, 1944-
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EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004In 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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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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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.
openaire +1 more source