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) |
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Pages (from-to) | 297-307 |
Number of pages | 11 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 402 |
Issue number | 1 |
DOIs | |
State | Published - Jun 1 2013 |
Keywords
- Compactly uniformly convex
- Property (β)
ASJC Scopus subject areas
- Analysis
- Applied Mathematics