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

页码：2001 / 2008

页数：8

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