Fremlin tensor products of concavifications of Banach lattices

被引：4
|
作者：
Troitsky, Vladimir G. [1 ]
Zabeti, Omid [2 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
[2] Univ Sistan & Baluchestan, Fac Math, Dept Math, Zahedan, Iran
来源：
POSITIVITY | 2014年 / 18卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Vector lattice; Banach lattice; Fremlin projective tensor product; Diagonal of tensor product; Concavification; F-ALGEBRAS;
D O I：
10.1007/s11117-013-0239-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose that is a uniformly complete vector lattice and are positive reals. We prove that the diagonal of the Fremlin projective tensor product of can be identified with where and stands for the -concavification of . We also provide a variant of this result for Banach lattices. This extends the main result of Bu et al. (Positivity, 2013).
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页码：191 / 200
页数：10
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