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

Jun Kawabe

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

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

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摘要

The Egoroff theorem remains valid for any Riesz space-valued non-additive measure which is strong order continuous and possesses a form of continuity called "property (S)" in the literature, whenever the Riesz space has the Egoroff property. This version of the Egoroff theorem is also valid for any non-additive measure with the property of uniform autocontinuity, strong order continuity and continuity from below by assuming only the weak σ-distributivity which is weaker than the Egoroff property.

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来源
《Fuzzy sets and systems》 |2007年第26期|50-57|共8页
作者
Jun Kawabe;
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作者单位

Department of Mathematics, Faculty of Engineering, Shinshu University, 4-17-1 Wakasato, Nagano 380-8553, Japan;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类模糊数学;
关键词
non-additive measures; riesz space; egoroff theorem; egoroff property; uniform autocontinuity; lebesgue theorem; riesz theorem;

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

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