Equivalent norms with the property (β) of Rolewicz

S. J. Dilworth; D. Kutzarova; G. Lancien; N. L. Randrianarivony

doi:10.1007/s13398-016-0278-2

Equivalent norms with the property (β) of Rolewicz

S. J. Dilworth, D. Kutzarova, G. Lancien, N. L. Randrianarivony

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We extend to the non separable setting many characterizations of the Banach spaces admitting an equivalent norm with the property (β) of Rolewicz. These characterizations involve in particular the Szlenk index and asymptotically uniformly smooth or convex norms. This allows to extend easily to the non separable case some recent results from the non linear geometry of Banach spaces.

Original language	English (US)
Pages (from-to)	101-113
Number of pages	13
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	111
Issue number	1
DOIs	https://doi.org/10.1007/s13398-016-0278-2
State	Published - Jan 1 2017

Keywords

46B20
46B80
46T99

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology
Computational Mathematics
Applied Mathematics

Online availability

10.1007/s13398-016-0278-2

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Equivalent norms with the property (β) of Rolewicz

Abstract

Keywords

ASJC Scopus subject areas

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