Compactly uniformly convex spaces and property (β) of Rolewicz

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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)297-307
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - Jun 1 2013


  • Compactly uniformly convex
  • Property (β)

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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