Additive maps preserving the ascent and descent of operators

被引：8
|
作者：
Bendaoud, M. [1 ]
Sarih, M. [1 ]
机构：
[1] Univ Moulay Ismail, Dept Math, Fac Sci, Meknes, Morocco
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 431卷 / 10期
关键词：
Ascent; Descent; Jordan isomorphism; Additive preservers;
D O I：
10.1016/j.laa.2009.06.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let L(X)and L(Y) be the algebras of all bounded linear operators on infinite dimensional complex Banach spaces X and Y, respectively. We characterize additive maps from L(X) onto L(Y) preserving different quantities such as the nullity, the defect, the ascent, and the descent of operators. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：1740 / 1744
页数：5
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