Nearly Uniformly Smooth and Locally Nearly Uniformly convex Banach spaces

Li Yongjin

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Nearly Uniformly Smooth and Locally Nearly Uniformly convex Banach spaces

更新时间：2023-12-11

- Nearly Uniformly Smooth and Locally Nearly Uniformly convex Banach spaces
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 34, Issue 2, Pages: 14-17(1995)
- 作者机构：
  
  中山大学数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1995，
  
  Published Online：25 March 1995，
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Li Yongjin. Nearly Uniformly Smooth and Locally Nearly Uniformly convex Banach spaces. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 34(2):14-17(1995)
DOI：

Li Yongjin. Nearly Uniformly Smooth and Locally Nearly Uniformly convex Banach spaces. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 34(2):14-17(1995) DOI：

摘要

给出了Ｂａｎａｃｈ空间Ｘ是接近一致光滑的一个很简明的充要条件，证明了Ｂａｎａｃｈ空间Ｘ是局部一致凸的当且仅当Ｘ是局部接近一致凸，且Ｘ是严格凸，并具有（ＷＭ）性质。

Abstract

A sufficient and necessary condition of nearly uniformly smooth is given

It is shown that Banach space X is locally uniformly convex if and only if X is locally nearly uniformly convex and strictly convex and has(WM)property.

关键词

接近一致凸接近一致光滑局部接近一致凸

Keywords

nearly uniformly convexnearly uniformly smoothlocally nearly uniformly convex.

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