华东师范大学学报（自然科学版）Issue(1)：63-73,11.DOI:10.3969/j.issn.1000-5641.2012.01.008
赋Luxemburg范数的广义Orlicz函数空间中的λ点和λ性质
λ point and λ property in generalized Orlicz spaces with Luxemburg norm
摘要
Abstract
In this paper,we gave the sufficient and necessary conditions of λ point in a generalized Orlicz function space equipped with the Luxemburg norm,by methods used in classical Orlicz spaces and new methods introduced especially for generalized ones.The results indicate the difference between points in the unit balls of classical and that of generalized Orlicz spaces:all of the classical spaces are λ points,but some of the generalized spaces are not.Finally,we gave the criteria of the λ property and the uniform λ property of generalized spaces.关键词
广义Orlicz空间/Luxemburg范数/λ性质/λ点/一致λ性质Key words
generalized Orlicz spaces/ Luxemburg norm/ λ property/ λ points/ uniform λ property分类
数理科学引用本文复制引用
石忠锐,翟佳羽..赋Luxemburg范数的广义Orlicz函数空间中的λ点和λ性质[J].华东师范大学学报（自然科学版）,2012,(1):63-73,11.基金项目
国家自然科学基金(10971129) （10971129）
上海市教委重点学科(J50101) （J50101）
上海大学研究生创新基金(SHUCX112002) （SHUCX112002）
