Linear maps preserving the minimum and reduced minimum moduli

被引:21
作者
Bourhim, A. [1 ]
Burgos, A. [2 ]
Shulman, V. S. [3 ]
机构
[1] Univ Laval, Dept Math & Stat, Quebec City, PQ G1K 7P4, Canada
[2] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
[3] Vologda State Tech Univ, Dept Math, Vologda, Russia
关键词
C*-algebras; Linear preserver problems; Minimum modulus; Surjectivity modulus; Reduced minimum modulus; BANACH-ALGEBRAS; GENERALIZED INVERSES; MAXIMAL IDEALS; INVERTIBILITY;
D O I
10.1016/j.jfa.2009.10.003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We describe linear maps from a C*-algebra onto another one preserving different spectral quantities such as the minimum modulus, the surjectivity modulus, and the reduced minimum modulus. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:50 / 66
页数:17
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