Lineability of the set of bounded linear non-absolutely summing operators

被引：24

作者：

Botelho, Geraldo ^{[2
]}

Diniz, Diogo ^{[3
]}

Pellegrino, Daniel ^{[1
]}

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil

[2] Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, MG, Brazil

[3] UAME UFCG, BR-58109970 Campina Grande, PB, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 357卷 / 01期

关键词：

Lineability; Absolutely summing operators; INDECOMPOSABLE BANACH-SPACE; POLYNOMIALS;

D O I：

10.1016/j.jmaa.2009.03.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we solve, except for extremely pathological cases, a question posed by Puglisi and Seoane-Sepulveda on the lineability of the set of bounded linear non-absolutely summing operators. We also show how the idea of the proof can be adapted to several related situations. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：171 / 175

页数：5

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