吉林大学学报(理学版)2012,Vol.50Issue(5):902-906,5.
赋p-Amemiya(1≤p≤∞)范数的Orlicz序列空间的端点和严格凸性
Extreme Points and Rotundity in Orlicz Sequence Spaces Equipped with p-Amemiya(1≤p≤∞) Norm
摘要
Abstract
By means of geometries of Banach spaces and Orlicz spaces method, the characterizations over rotundity of the Orlicz sequence spaces were discussed. For the Orlicz sequence spaces generated by an Orlicz function and equipped with p-Amemiya norm, the criteria of extreme points were presented. Based on the criteria, sufficient and necessary conditions were derived to make them rotund.关键词
Orlicz序列空间/p-Amemiya范数/端点/严格凸性Key words
Orlicz sequence space/ p-Amemiya norm/ extreme point/ rotundity分类
数理科学引用本文复制引用
段丽芬,许晶,崔云安..赋p-Amemiya(1≤p≤∞)范数的Orlicz序列空间的端点和严格凸性[J].吉林大学学报(理学版),2012,50(5):902-906,5.基金项目
波兰国家自然科学基金(批准号:201362236)和吉林省教育厅“十一五”科技项目(批准号:吉教科合字[2010]第214号). (批准号:201362236)