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Near convexity, near smoothness and approximative compactness of half spaces in Banach spaces.
- Source :
- Acta Mathematica Sinica; May2016, Vol. 32 Issue 5, p599-606, 8p
- Publication Year :
- 2016
-
Abstract
- The authors discuss the dual relation of nearly very convexity and property WS. By two kinds of near convexities and two kinds of near smoothness, the authors prove a series of characterizations such that every half-space in Banach space X and every weak* half-space in the dual space X* are approximatively weakly compact and approximatively compact. They show a sufficient condition such that a Banach space X is a Asplund space. Using upper semi-continuity of duality mapping, the authors also give two characterizations of property WS and property S. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 32
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 114325776
- Full Text :
- https://doi.org/10.1007/s10114-016-4763-5