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Orlicz空间的依测度一致凸点
引用本文:韩彦昌. Orlicz空间的依测度一致凸点[J]. 华南师范大学学报(自然科学版), 2007, 1(2): 18-26
作者姓名:韩彦昌
作者单位:华南师范大学数学科学学院,广东广州,510631
摘    要:引进依测度一致凸点的概念,给出了赋Orlicz范数Orlicz空间依测度一致凸点的判据,进而推出Orlicz空间依测度一致凸的充分必要条件。

关 键 词:Orlicz空间  依测度一致凸点  依测度一致凸
文章编号:1000-5463(2007)02-0018-09
修稿时间:2006-05-23

UNIFORM ROTUNDITY POINTS IN MEASURE OF ORLICZ SPACES
HAN Yan-chang. UNIFORM ROTUNDITY POINTS IN MEASURE OF ORLICZ SPACES[J]. Journal of South China Normal University(Natural Science Edition), 2007, 1(2): 18-26
Authors:HAN Yan-chang
Affiliation:School of Mathematics, South China Normal University, Guangzhou 510631, China
Abstract:A new definition,namely uniformly rotundity points in measure,is introduced,and the criteria for the uniform rotundity points in measure of Orlicz spaces with the Orlicz norm are given.The necessary and sufficient conditions of the uniform rotundity in measure of Orlicz spaces are obtained too.
Keywords:Orlicz spaces  uniform rotundity points in measure  uniform rotundity in measure
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