Positive Schur properties in spaces of regular operators

被引：0
|
作者：
Pedro Tradacete
机构：
[1] Universidad Carlos III de Madrid,Mathematics Department
来源：
Positivity | 2015年 / 19卷
关键词：
Banach lattice; Positive Schur property; Positive Grothendieck property; Spaces of regular operators; Fremlin tensor product; 46B42; 46A32; 47B65;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Properties of Schur type for Banach lattices of regular operators and tensor products are analyzed. It is shown that the dual positive Schur property behaves well with respect to Fremlin’s projective tensor product, which allows us to construct new examples of spaces with this property. Similar results concerning the positive Grothendieck property are also presented.
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页码：305 / 316
页数：11
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