ON A CLASS OF KTHE SEQUENCE SPACES WITH NORMAL STRUCTURE  

作　　者：B. Zlatanov 

机构地区：[1]Department of Mathematics and Informatics, Plovdiv University

出　　处：《Acta Mathematica Scientia》2011年第2期576-590,共15页数学物理学报（B辑英文版）

基　　金：supported by National Fund for Scientific Research of the Bulgarian Ministry of Education and Science, Contract MM-1401/04

摘　　要：In this note, we investigate the generalized modulus of convexity δ（λ） and the generalized modulus smoothness p（λ）. We obtain some estimates of these moduli for X=lp. We obtain inequalities between WCS coefficient of a KSthe sequence space X and δX（λ）. We show that, for a wide class of class the sequence spaces X, if for some ε∈（0, 9/10] holds δx（e） 〉 1/3（1- √3/2）ε, then X has normal structure.In this note, we investigate the generalized modulus of convexity δ（λ） and the generalized modulus smoothness p（λ）. We obtain some estimates of these moduli for X=lp. We obtain inequalities between WCS coefficient of a KSthe sequence space X and δX（λ）. We show that, for a wide class of class the sequence spaces X, if for some ε∈（0, 9/10] holds δx（e） 〉 1/3（1- √3/2）ε, then X has normal structure.

关 键 词：Weakly convergent sequence coefficient modulus of convexity generalizedmodulus of convexity normal structure 

分 类 号：O177[理学—数学]