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

被引：3

作者：

Botelho, Geraldo ^{[1
]}

Bu, Qingying ^{[2
]}

Ji, Donghai ^{[3
]}

Navoyan, Khazhak ^{[1
]}

机构：

[1] Univ Fed Uberlandia, Fac Matemat, Uberlandia, MG, Brazil

[2] Univ Mississippi, Dept Math, Oxford, MS 38677 USA

[3] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2022年 / 197卷 / 04期

关键词：

Banach lattices; Positive Schur property; Regular multilinear operators; Positive projective tensor product; DUNFORD-PETTIS OPERATORS; WEAK;

D O I：

10.1007/s00605-022-01677-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：565 / 578

页数：14

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