Polynomial numerical indices of Banach spaces with 1-unconditional bases

被引：5
|
作者：
Lee, Han Ju [2 ]
Martin, Miguel [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
[2] Dongguk Univ Seoul, Dept Math Educ, Seoul 100715, South Korea
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 437卷 / 08期
基金：
新加坡国家研究基金会;
关键词：
Numerical index; Kothe space; Absolute norm; Polynomial; Unconditional basis; DUALITY;
D O I：
10.1016/j.laa.2011.05.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The only infinite-dimensional complex space with 1-unconditional basis which has polynomial numerical index of order 2 equal to 1 is c(0). In the real case, there is no space of this type. We also show that, in the complex case, if X is an infinite-dimensional Banach sequence space with absolute norm whose Kothe dual is norming and has polynomial numerical index of order 2 equal to 1, then c(0) subset of X subset of l(infinity). In the real case, again there is no space of this type. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：2001 / 2008
页数：8
相关论文
共 50 条
12345