The positive Schur property on positive projective tensor products and spaces of regular multilinear operators

被引：0
|
作者：
Geraldo Botelho
Qingying Bu
Donghai Ji
Khazhak Navoyan
机构：
[1] Universidade Federal de Uberlândia,Faculdade de Matemática
[2] University of Mississippi,Department of Mathematics
[3] Harbin University of Science and Technology,Department of Mathematics
来源：
Monatshefte für Mathematik | 2022年 / 197卷
关键词：
Banach lattices; Positive Schur property; Regular multilinear operators; Positive projective tensor product; 46B42; 46G25; 46M05; 46B28;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We characterize the positive Schur property in the positive projective tensor products of Banach lattices, we establish the connection with the weak operator topology and we give necessary and sufficient conditions for the space of regular multilinear operators/homogeneous polynomials taking values in a Dedekind complete Banach lattice to have the positive Schur property.
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页码：565 / 578
页数：13
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