λ-property and Uniformly λ-property of Generalized Orlicz Spaces Endowed with p-Amemiya Norms(1≤p≤∞)

WANG Jun-ming; JIANG Rong-ze; WU Dan

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λ-property and Uniformly λ-property of Generalized Orlicz Spaces Endowed with p-Amemiya Norms(1≤p≤∞)

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- λ-property and Uniformly λ-property of Generalized Orlicz Spaces Endowed with p-Amemiya Norms(1≤p≤∞)
- Vol. 17, Issue 1, Pages: 105-107(2012)
- 作者机构：
  
  哈尔滨理工大学应用科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O177.3
- Published：2012
- 稿件说明：
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WANG Jun-ming, JIANG Rong-ze, WU Dan. λ-property and Uniformly λ-property of Generalized Orlicz Spaces Endowed with p-Amemiya Norms(1≤p≤∞)[J]. 2012, 17(1): 105-107.
DOI：

WANG Jun-ming, JIANG Rong-ze, WU Dan. λ-property and Uniformly λ-property of Generalized Orlicz Spaces Endowed with p-Amemiya Norms(1≤p≤∞)[J]. 2012, 17(1): 105-107. DOI：

摘要

根据各种不同理论和应用的需要

Orlicz空间有各种不同形式的推广

赋p—Amemiya范数的Orlicz空间是Orlicz空间的推广

记为LM

p空间.λ—性质和一致λ—性质是Banach空间几何理论中的重要概念

它与端点和严格凸性有着紧密的联系.本文中我们得出了LM

p空间具有λ—性质

并给出了LM

p空间具有一致λ—性质的充要条件.

Abstract

According to the requirements of various theories and application

there are many generalizations of Orlicz spaces.The spaces LM

p equipped with the p-Amemiya norms are the generation of the Orlicz spaces.λ-property and uniformly λ-property are important geometric properties in Orlicz spaces.They have close connections with extreme points and strict convexity.In this paper

we conclude that LM

p(1≤p≤∞) spaces have the λ-property and the necessary and sufficient conditions that LM

p(1≤p≤∞)spaces ha...

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Related Author

JIANG Rong-ze

WANG Jun-ming

LIU Fu-sheng

Related Institution

哈尔滨理工大学应用科学学院

黑龙江省计量检定测试院

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