Grothendieck-type subsets of Banach lattices

被引：13

作者：

Galindo, Pablo ^{[1
]}

Miranda, Vinicius C. C. ^{[2
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, Valencia, Spain

[2] Univ Sao Paulo, Sao Paulo, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 506卷 / 01期

关键词：

Almost Grothendieck sets; Almost Grothendieck operators; Disjoint operators; Positive Grothendieck property; Positive Grothendieck sets; Weak Grothendieck property; PROPERTY; SETS;

D O I：

10.1016/j.jmaa.2021.125570

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the setting of Banach lattices the weak (resp. positive) Grothendieck spaces have been defined. We localize such notions by defining new classes of sets that we study and compare with some quite related different classes. This allows us to introduce and compare the corresponding linear operators. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：14

共 20 条

[1]

Aliprantis C. D., 2006, POSITIVE OPERATORS

[2] Almost Dunford-Pettis sets in Banach lattices [J].