On operators preserving James' orthogonality

被引：34
作者：
Turnsek, A [1 ]
机构：
[1] Univ Ljubljana, Fac Mech Engn, Ljubljana 1000, Slovenia
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 407卷 / 407期
关键词：
James' orthogonality; linear preserver; numerical range;
D O I：
10.1016/j.laa.2005.05.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterise isometries and coisometries B(H) in terms of James' orthogonality. As a consequence we obtain a characterisation of surjective linear or conjugate linear mappings phi : B(H) -> B(H) that preserve James' orthogonality in both directions. (c) 2005 Elsevier Inc. All rights reserved.
引用
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页码：189 / 195
页数：7
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