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Lower bounds for normal structure coefficients
Published online by Cambridge University Press: 14 November 2011
Synopsis
Using some new expressions for the weakly convergent sequences coefficient WCS(X) the lower boundedness
is proved, where δ(-) is the (Clarkson) modulus of convexity. We also define a modulus of noncompact convexity concerning nearly uniformly convex spaces which is used to obtain another lower bound for WCS(X). The computation of this modulus in Ip-spaces shows that our second lower bound is the best possible in these spaces.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 121 , Issue 3-4 , 1992 , pp. 245 - 252
- Copyright
- Copyright © Royal Society of Edinburgh 1992
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