Circular two-sided multiplications

被引：0

作者：

Turnsek, Aleksej ^{[1
,2
]}

机构：

[1] Univ Ljubljana, Fac Maritime Studies & Transport, Ljubljana, Slovenia

[2] Inst Math Phys & Mech, Ljubljana, Slovenia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2016年 / 64卷 / 11期

关键词：

circular operator; strongly circular operator; elementary operator; minimal norm ideal;

D O I：

10.1080/03081087.2016.1143911

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we consider circular and strongly circular two-sided multiplications phi(X) = A X B acting on B(H) or on minimal norm ideals of B(H). We prove that strong circularity of phi implies circularity of A or of B. If A and B are irreducible and phi is acting on some minimal norm ideal different from the Hilbert-Schmidt class, then phi is strongly circular if and only if A or B is strongly circular.

引用

页码：2169 / 2176

页数：8

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