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Characterizations of geometrical properties of Banach spaces using Ψ-direct sums

Zhihua Zhang|Lan Shu|Jun Zheng|Yuling Yang
대한수학회 (The Korean Mathematical Society)|2013.03|대한수학회보 (Bulletin of the KMS)|제50권 제2호|pp. 417-430

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참고문헌

키워드

absolute normK strict convexityK uniform convexityuniform non-lN 1 -ness
주제분류수학

초록

Let X be a Banach space and Ψ a continuous convex function on ∇K+1 satisfying certain conditions. Let (X⊕X⊕· · ·⊕X)Ψ be the Ψ-direct sum of X. In this paper, we characterize the K strict convexity, K uniform convexity and uniform non-lN 1 -ness of Banach spaces using -direct sums.

Abstract

Let X be a Banach space and Ψ a continuous convex function on ∇K+1 satisfying certain conditions. Let (X⊕X⊕· · ·⊕X)Ψ be the Ψ-direct sum of X. In this paper, we characterize the K strict convexity, K uniform convexity and uniform non-lN 1 -ness of Banach spaces using -direct sums.

참고문헌 (17)

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