吉林大学学报(理学版)Issue(2):219-223,5.DOI:10.13413/j.cnki.jdxblxb.2014.02.11
赋广义Orlicz范数Orlicz函数空间的局部一致凸性
Locally Uniform Rotundity in Orlicz Function Spaces Equipped with the Generalized Orlicz Norm
摘要
Abstract
Using convex theories of Banach spaces,the authors studied locally uniform rotundity and weakly locally uniform rotundity of the Orlicz function spaces equipped with the generalized Orlicz norm and obtained sufficient and necessary conditions so as to make them be locally uniform rotund and weakly locally uniform rotund.关键词
广义 Orlicz范数/Orlicz函数空间/局部一致凸/弱局部一致凸Key words
generalized Orlicz norm/Orlicz function space/locally uniform rotund/weakly locally uniform rotund分类
数理科学引用本文复制引用
段丽芬,左明霞,崔云安..赋广义Orlicz范数Orlicz函数空间的局部一致凸性[J].吉林大学学报(理学版),2014,(2):219-223,5.基金项目
国家自然科学基金(批准号:11226127)、波兰国家自然科学基金(批准号:201362236)和吉林省教育厅“十二五”科技项目(批准号:吉教科合字[2014]第400号) (批准号:11226127)