ON A CLASS OF KTHE SEQUENCE SPACES WITH NORMAL STRUCTURE

ON A CLASS OF KTHE SEQUENCE SPACES WITH NORMAL STRUCTURE

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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.

作者 B. Zlatanov

机构地区 Department of Mathematics and Informatics

出处《Acta Mathematica Scientia》 SCIE CSCD 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

关键词 Weakly convergent sequence coefficient modulus of convexity generalizedmodulus of convexity normal structure Weakly convergent sequence coefficient modulus of convexity generalizedmodulus of convexity normal structure

分类号 O177 [理学—基础数学]

作者简介 E-mail： bzlatanov@gmail.com

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ON A CLASS OF KTHE SEQUENCE SPACES WITH NORMAL STRUCTURE

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