A Compilation of Some Well-known Results in Renorming Theory

Volume 2, Issue 3, pp 495--514 http://dx.doi.org/10.22436/jmcs.02.03.14

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Authors

Hadi Haghshenas - Department of Mathematical Analysis, Birjand University, Birjand, Iran Saber Ghasempour - Faculty of Basic Science, Payamnoor University of Mazandaran, Amol, Iran

Abstract

The problems concerning equivalent norms of Banach spaces lie at the heart of Banach space theory. Our aim in this paper is to present a history of the subject, and to introduce some open problems.

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Keywords

• Gateaux differentiable norm
• Fr´echet differentiable norm
• smooth norm
• strictly convex space
• uniformly convex space
• Kadec-Klee property
• Asplund space
• weaklycompactly- generated space
• Vasak space
• Mazur intersection property
• isomorphically polyhedral space
• Schauder basis
• uniform Eberlein compact space
• super reflexive space.

MSC

•  46B20
•  46B03

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