WEAK GROTHENDIECK COMPACTNESS PRINCIPLE FOR SYMMETRIC SPACES

被引：0

作者：

Matin, Dauren ^{[1
]}

Nessipbayev, Yerlan ^{[2
,3
]}

Sukochev, Fedor ^{[2
]}

Zanin, Dmitriy ^{[2
]}

机构：

[1] L N Gumilyov Eurasian Natl Univ, Dept Math & Mech, Astana, Kazakhstan

[2] Univ New South Wales, Sch Math & Stat, Sydney, Australia

[3] Inst Math & Math Modeling, Alma Ata, Kazakhstan

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2024年 / 333卷 / 01期

关键词：

Grothendieck compactness principle; weak compactness; symmetric spaces of sequences; functions and operators; PROPERTY;

D O I：

10.2140/pjm.2024.333.127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We strengthen and simplify the weak Grothendieck compactness principle for symmetric sequence spaces, and extend it to both symmetric function spaces and noncommutative symmetric spaces of measurable operators.

引用

页码：127 / 154

页数：31

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