Author's Personal Copy Journal of Mathematical Analysis and Applications Compactly Uniformly Convex Spaces and Property (β) of Rolewicz

  • Denka Kutzarova, Lovasoa Randrianarivony, Tomas Dominguez-Benavides
  • Published 2013


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. © 2013 Elsevier… (More)


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