Domination by positive disjointly strictly singular operators

被引：17

作者：

Flores, J ^{[1
]}

Hernández, FL ^{[1
]}

机构：

[1] Univ Complutense, Fac Matemat, Dept Anal Matemat, E-28040 Madrid, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-00-05948-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that each positive operator from a Banach lattice E to a Banach lattice F with a disjointly strictly singular majorant is itself disjointly strictly singular provided the norm on F is order continuous. We prove as well that if S : E --> E is dominated by a disjointly strictly singular operator, then S-2 is disjointly strictly singular.

引用

页码：1979 / 1986

页数：8

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