Radon-Nikodym theorem and Vitali-Hahn-Saks theorem on fuzzy number measures in Banach spacers

Jianrong Wu; Xiaoping Xue; Congxin Wu

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Radon-Nikodym theorem and Vitali-Hahn-Saks theorem on fuzzy number measures in Banach spacers

机译：Banach间隔子中模糊数测度的Radon-Nikodym定理和Vitali-Hahn-Saks定理

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摘要

Radon-Nikodym theorem is established on fuzzy number measures in Banach spaces, Vitali-Hahn-Saks theorem is generalized to set valued measures and fuzzy number measures.

机译：Radon-Nikodym定理建立在Banach空间中的模糊数测度上，Vitali-Hahn-Saks定理被推广到设定值测度和模糊数测度。

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来源
《Fuzzy sets and systems》 |2001年第3期|p.339-346|共8页
作者
Jianrong Wu; Xiaoping Xue; Congxin Wu;
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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 eng
中图分类模糊数学;
关键词
Analysis; Fuzzy number measure; Set valued measure; Radon-Nikodym theorem; Vitali-Hahn-Saks theorem;

机译：分析;模糊数测度;设定值的度量;Radon-Nikodym定理;维塔利-哈恩-萨克斯定理;

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专利

1. Lebesgue Decompositions of Signed Fuzzy Number-valued Measures and Radon-Nikodym Theorems for Fuzzy Number-valued Integrals on The Fuzzy Set [J] . Fen-xia Zhao, Guang-Quan Zhang The Journal of fuzzy mathematics . 2004,第2期

机译：模糊集上带符号模糊数值测度的Lebesgue分解和模糊数值积分的Radon-Nikodym定理
2. Radon-Nikodym property of conjugate Banach spaces and w~*-equivalence theorems of w~*-μ-measurable functions [J] . GUO Tiexin Science in China. Series A, Mathematics, physics, astronomy . 1996,第10期

机译：共轭Banach空间的Radon-Nikodym性质和w〜*-μ可测函数的w〜*等价定理
3. Radon-Nikodym Theorems for Multimeasures in Non-Separable Spaces [J] . B. Cascales, V. Kadets, J. Rodríguez Journal of Mathematical Physics, Analysis, Geometry . 2013,第1期

机译：不可分离空间中多度量的Radon-Nikodym定理
4. The Radon-Nikodym theorem for vector measures and integral representation of operators on Banach function spaces [C] . E. A. Sanchez Pérez International Course of Mathematical Analysis in Andalucia . 2016

机译：氡-NIKodyM定理，用于向乘坐措施的措施和运营商的整体表示
5. Fixed point and ergodic theorems for nonexpansive mappings on ultrametric Banach spaces. [D] . Farrier, Sandra N. 2005

机译：超度量Banach空间上非膨胀映射的不动点定理和遍历定理。
6. MAPPING THEOREMS FOR NONCOMPACT NONLINEAR OPERATORS IN BANACH SPACES [O] . Felix E. Browder 1965

机译：Banach空间中非紧非线性算子的映射定理。
7. Note on Banach space, IX. Vitali-Hahn-Saks' theorem and $K$-spaces [O] . Masahiro Nakamura 1949

机译：关于Banach Space，IX的说明。 Vitali-Hahn-Saks'Irorem和$ k $ -spaces
8. Martingale convergence and the Radon-Nikodym theorem in Banach spaces [R] . Chatterji, S. D. 1967

机译：Banach空间中的鞅收敛性和Radon-Nikodym定理

Radon-Nikodym theorem and Vitali-Hahn-Saks theorem on fuzzy number measures in Banach spacers

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