The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square

被引：11

作者：

Bu, Qingying ^{[1
]}

Buskes, Gerard ^{[1
]}

Popov, Alexey I. ^{[2
]}

Tcaciuc, Adi ^{[3
]}

Troitsky, Vladimir G. ^{[4
]}

机构：

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

[2] Univ Waterloo, Dept Pure Math, Fac Math, Waterloo, ON N2L 3G1, Canada

[3] Grant MacEwan Univ, Dept Math & Stat, Edmonton, AB T5J P2P, Canada

[4] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

POSITIVITY | 2013年 / 17卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Banach lattice; Fremlin projective tensor product; Diagonal of tensor square; Square of a Banach lattice; Concavification; RIESZ SPACES; PRODUCTS;

D O I：

10.1007/s11117-012-0166-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the relationship between the diagonal of the Fremlin projective tensor product of a Banach lattice E with itself and the 2-concavification of E.

引用

页码：283 / 298

页数：16