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Your search keyword '"Li, Xin-cheng"' showing total 2 results
Start Over Author "Li, Xin-cheng" Topic complex variables Topic elliptic functions
2 results on '"Li, Xin-cheng"'

1. Several remarks on ball-coverings of normed spaces.

Author

Li Xin Cheng, Zheng Hua Luo, Xue Fang Liu, and Zhang, Wen

Subjects
*BANACH spaces, *COMPLEX variables, *BANACH algebras, *ELLIPTIC functions, *TRANSCENDENTAL functions
Abstract

This paper presents two counterexamples about ball-coverings of Banach spaces and shows a new characterization of uniformly non-square Banach spaces via ball-coverings. [ABSTRACT FROM AUTHOR]

Published
2010
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2. Every weakly compact set can be uniformly embedded into a reflexive Banach space.

Author

Li Xin Cheng, Qing Jin Cheng, Zheng Hua Luo, and Wen Zhang

Subjects
*BANACH spaces, *COMPLEX variables, *ELLIPTIC functions, *MATHEMATICS, *GENERALIZED spaces
Abstract

Based on an application of the Davis-Figiel-Johnson-Pelzyśki procedure, this note shows that every weakly compact subset of a Banach space can be uniformly embedded into a reflexive Banach space. As its application, we present the recent renorming theorems for reflexive spaces of Odell-Schlumprecht and Hájek-Johanis can be extended and localized to weakly compact convex subsets of an arbitrary Banach space. [ABSTRACT FROM AUTHOR]

Published
2009
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