Linear Maps Preserving Operators of Inner Local Spectral Radius Zero at Some Fixed Vector

被引：1

作者：

Costara, Constantin ^{[1
]}

机构：

[1] Ovidius Univ Constanta, Fac Math & Informat, Mamaia Boul 124, Constanta 900527, Romania

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 06期

关键词：

Linear preserver; inner local spectral radius; fixed vector; Primary; 47B49; Secondary; 47A11; MATRICES;

D O I：

10.1007/s00009-020-01644-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a complex Banach space and let x0. X be a fixed nonzero vector. Denote by L(X) the algebra of all linear and bounded operators on X, and for T. L(X) denote by sT (x0) the local spectrum of T at x0. We characterize linear and surjective maps. : L( X). L( X) such that. (I). L( X) is invertible and 0 epsilon sigma T (x0)double left right arrow 0.epsilon s.( T) (x0) (T. L(X))

引用

页数：10

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