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
收藏
页码：2169 / 2176
页数：8
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