ON A CLASS OF KOTHE SEQUENCE SPACES WITH NORMAL STRUCTURE

被引:3
作者
Zlatanov, B. [1 ]
机构
[1] Paisij Hilendarski Univ Plovdiv, Dept Math & Informat, BG-4000 Plovdiv, Bulgaria
关键词
Weakly convergent sequence coefficient; modulus of convexity; generalized modulus of convexity; normal structure; BANACH-SPACES;
D O I
10.1016/S0252-9602(11)60258-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note, we investigate the generalized modulus of convexity delta((lambda)) and the generalized modulus smoothness rho((lambda)) . We obtain some estimates of these moduli for X = l(p). We obtain inequalities between WCS coefficient of a Kothe sequence space X and delta((lambda))(X) We show that, for a wide class of Kothe sequence spaces X, if for some epsilon is an element of (0, 9/10] holds delta(X) (epsilon) > 1/3(1 -root 3/2)epsilon, then X has normal structure.
引用
收藏
页码:576 / 590
页数:15
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