Complementation in the Fremlin vector lattice symmetric tensor products-I

被引：1

作者：

Ji, Donghai ^{[1
]}

Navoyan, Khazhak ^{[2
]}

Bu, Qingying ^{[2
]}

机构：

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

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

来源：

QUAESTIONES MATHEMATICAE | 2020年 / 43卷 / 5-6期

关键词：

Fremlin tensor product; complementation; projection band;

D O I：

10.2989/16073606.2019.1605422

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a positive integer n and a uniformly complete vector lattice E, let (circle times) over bar E-n;s denote the n-fold Fremlin vector lattice symmetric tensor product of E. We prove that if there exists a lattice homomorphism phi is an element of E-similar to then E is lattice isomorphic to a complemented sublattice of (circle times) over bar E-n;s. Moreover, if ker(phi) is a projection band in E then the image of E is also a projection band in (circle times) over bar E-n;s..

引用

页码：773 / 782

页数：10

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