On the norm of symmetrised two-sided multiplications

被引：14
|
作者：
Magajna, B
Turnsek, A
机构：
[1] Univ Ljubljana, Dept Math, Ljubljana 1000, Slovenia
[2] Univ Ljubljana, Fac Mech Engn, Ljubljana 1000, Slovenia
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2003年 / 67卷 / 01期
关键词：
D O I：
10.1017/S0004972700033499
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors provide precise lower bounds for the completely bounded norm of the operator T-a,T-b : B(H) --> B(H) defined by T-a,T-b(X) = axb + bxa and the injective norm of the corresponding tensor. Further, they compute the norm of the operator x --> a*xb + b*xa acting on the space of all conjugate-linear operators on H.
引用
收藏
页码：27 / 38
页数：12
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