Preservers of the local spectral radius zero of Jordan product of operators

被引：4

作者：

Elhodaibi, Mhamed ^{[1
]}

Saber, Somaya ^{[1
]}

机构：

[1] Univ Mohammed First, Fac Sci, Dept Math, Labo LIABM, Oujda, Morocco

来源：

TURKISH JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 02期

关键词：

Nonlinear preservers; quasinilpotent part; local spectral radius; Jordan product;

D O I：

10.3906/mat-2010-88

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B(X) be the algebra of all bounded linear operators on an infinite-dimensional complex Banach space X, and denote by r(T)(x) the local spectral radius of any operator T is an element of B(X) at any vector x is an element of X. In this paper, we characterize surjective maps phi on B(X) satisfying r(phi(T)phi(A)+phi(A)phi(T)) (x) = 0 if and only if r(TA+AT)(x) = 0 for all x is an element of X and A,T is an element of B(X).

引用

页码：1030 / 1039

页数：10

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