The Grothendieck property in Marcinkiewicz spaces

被引：1
作者：
de Pagter, B. [1 ]
Sukochev, F. A. [2 ]
机构：
[1] Delft Univ Technol, Fac EEMCS, Delft Inst Appl Math, POB 5031, NL-2600 GA Delft, Netherlands
[2] Univ New South Wales, Sch Math & Stat, Kensington, NSW 2052, Australia
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2020年 / 31卷 / 05期
关键词：
Grothendieck space; Marcinkiewicz space; Banach function space; Banach lattice; WEAK-CONVERGENCE; FUNCTIONALS; COMPACTNESS;
D O I：
10.1016/j.indag.2020.01.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to fully characterize continuous concave functions psi such that the corresponding Marcinkiewicz Banach function space M-psi is a Grothendieck space. (C) 2020 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：791 / 808
页数：18
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