2002Journal of Xiamen UniversityRequires access

K-very Smoothness and K-very Convexity in Banach Spece

Zihou Zhang

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Abstract

The author introduced K-very convexity which was not only a generalization of the very convexity,but also dual property of the K-very smoothness.The author proved five characteristics of the K-very smoothness and eight characteristics of the K-very convexity,respectively.

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What this paper is about

The author introduced K-very convexity which was not only a generalization of the very convexity,but also dual property of the K-very smoothness.The author proved five characteristics of the K-very smoothness and eight characteristics of the K-very convexity,respectively.

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Available abstract

The author introduced K-very convexity which was not only a generalization of the very convexity,but also dual property of the K-very smoothness.The author proved five characteristics of the K-very smoothness and eight characteristics of the K-very convexity,respectively.

Key concepts: Convexity, Smoothness, Property (philosophy), Mathematics, Generalization, Banach space, Dual (grammatical number), Pure mathematics

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