k-extreme Points and k-strongly Extreme Points in Orlicz Spaces Endowed with p-Amemiya Norms(1≤p≤∞)

JIANG Rong-ze; WANG Jun-ming; LIU Fu-sheng

Chinese

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k-extreme Points and k-strongly Extreme Points in Orlicz Spaces Endowed with p-Amemiya Norms(1≤p≤∞)

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- k-extreme Points and k-strongly Extreme Points in Orlicz Spaces Endowed with p-Amemiya Norms(1≤p≤∞)
- Vol. 16, Issue 2, Pages: 90-93(2011)
- 作者机构：
  
  1. 哈尔滨理工大学应用科学学院
  2. 黑龙江省计量检定测试院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O177
- Published：2011
- 稿件说明：
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JIANG Rong-ze, WANG Jun-ming, LIU Fu-sheng. k-extreme Points and k-strongly Extreme Points in Orlicz Spaces Endowed with p-Amemiya Norms(1≤p≤∞)[J]. 2011, 16(2): 90-93.
DOI：

JIANG Rong-ze, WANG Jun-ming, LIU Fu-sheng. k-extreme Points and k-strongly Extreme Points in Orlicz Spaces Endowed with p-Amemiya Norms(1≤p≤∞)[J]. 2011, 16(2): 90-93. DOI：

摘要

给出了赋p-Amemiya(1≤p≤∞)范数Orlicz空间(记为LM

p空间)单位球面k-端点和k-强端点的判据

并据此得到了LM

p空间是k-严格凸和中点局部k-一致凸的充要条件.

Abstract

In this paper

criteria for k-extreme points and k-strongly extreme points of the unit ball in Orlicz spaces with p-Amemiya(1≤p≤∞)norms(LM

p spaces in shot) are given.Throngh them we obtain sufficient and necessary conditions that LM

p(1≤p≤∞)spaces are k-strict convexity and mid-local k-uniformly convexity.

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Related Author

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Related Institution

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