NORMS OF BASIC ELEMENTARY OPERATORS ON ALGEBRAS OF REGULAR OPERATORS

被引：1

作者：

Wickstead, A. W. ^{[1
]}

机构：

[1] Queens Univ Belfast, Pure Math Res Ctr, Belfast BT7 1NN, Antrim, North Ireland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 12期

关键词：

Regular operators; basic elementary operators; Banach lattices;

D O I：

10.1090/proc/12664

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that if E is an atomic Banach lattice with an order continuous norm, A, B is an element of L-r(E) and MA, B is the operator on L-r(E) defined by M-A,M- B(T) = ATB, then parallel to M-A,M- B parallel to(r) = parallel to A parallel to(r) parallel to B parallel to(r) but that there is no real alpha > 0 such that parallel to M-A,M- B parallel to >= alpha parallel to A parallel to(r)parallel to B parallel to(r).

引用

页码：5275 / 5280

页数：6

共 9 条

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