Uniform smoothness vs uniform convexity

Elements of Geometry of Balls in Banach Spaces Pub Date : 2018-09-13 DOI:10.1093/oso/9780198827351.003.0005

K. Goebel, S. Prus

引用次数: 0

Abstract

The aim of the chapter is to present duality between uniform convexity and uniform smoothness. Lindenstrauss formulas relating moduli of convexity and smoothness are discussed as the main tool. A section deals with the notion of noncreasy and uniformly noncreasy spaces.

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均匀平滑vs均匀凸性

本章的目的是呈现均匀凸性和均匀光滑性之间的对偶性。作为主要工具，讨论了有关凸模和平滑模的Lindenstrauss公式。一节讨论了非皱缩空间和一致非皱缩空间的概念。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Elements of Geometry of Balls in Banach Spaces

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