Compactly uniformly convex spaces and property (β) of Rolewicz

S. J. Dilworth; Denka Kutzarova; N. Lovasoa Randrianarivony; J. P. Revalski; N. V. Zhivkov

doi:10.1016/j.jmaa.2013.01.039

Compactly uniformly convex spaces and property (β) of Rolewicz

S. J. Dilworth, Denka Kutzarova, N. Lovasoa Randrianarivony, J. P. Revalski, N. V. Zhivkov

Mathematics

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

Abstract

We study different facets of property (β) of Rolewicz. We remark that the notions of compact uniform convexity and property (β) are isometrically equivalent and present new examples of spaces with that property. An observation is made that the property (β) can be formulated in terms of graphs and an estimate of the (β)-modulus is also given.

Original language	English (US)
Pages (from-to)	297-307
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	402
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2013.01.039
State	Published - Jun 1 2013

Keywords

Compactly uniformly convex
Property (β)

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2013.01.039

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AU - Kutzarova, Denka

AU - Lovasoa Randrianarivony, N.

AU - Revalski, J. P.

AU - Zhivkov, N. V.

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KW - Property (β)

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Compactly uniformly convex spaces and property (β) of Rolewicz

Abstract

Keywords

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