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A NEW CHARACTERIZATION OF REFLEXIVITY

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  01 December 2008

RUIDONG WANG
RUIDONG WANG*
Affiliation:
School of Mathematics, Nankai University, Tianjing 300071, People’s Republic of China (email: wangruidong@mail.nankai.edu.cn)
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Abstract

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In this paper, we give a new characterization of reflexive Banach spaces in terms of the sum of two closed bounded convex sets.

Keywords

reflexivebounded convex closed set

MSC classification

Secondary: 46B20: Geometry and structure of normed linear spaces
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 78 , Issue 3 , December 2008 , pp. 443 - 444
Copyright
Copyright © 2009 Australian Mathematical Society

References

[1]James, R. C., ‘Reflexivity and the sup of linear functionals’, Israel J. Math. 13 (1972), 289–300.CrossRefGoogle Scholar