Acta mathematica scientia, Series B >
ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE
Received date: 2005-06-11
Revised date: 2005-12-25
Online published: 2007-10-20
In this article, the authors study a generalized modulus of convexity, δα(ε). Certain related geometrical properties of this modulus are analyzed. Their main result is that Banach space X has uniform normal structure if there exists ε, 0≤ε≤1, such that δα(1+ε)>(1-α)ε.
Yang Changsen , Wang Fenghui . ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE[J]. Acta mathematica scientia, Series B, 2007 , 27(4) : 838 -844 . DOI: 10.1016/S0252-9602(07)60081-2
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