Bendaoud, M. and Benyouness, A. and Sarih, M. (2016) Preservers of pseudo spectral radius of operator products. Linear Algebra and Its Applications, 489. pp. 186-198.

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Abstract

Let H be an infinite-dimensional complex Hilbert space and let L(H) be the algebra of all bounded linear operators on H. For ε>0 and T€L(H), let rε(T) denote the ε-pseudo spectral radius of T. We characterize surjective maps ø on L(H) which satisfyrε(ø(T)ø(S))=rε(TS) for all T,S€L(H). We also obtain analogous result for the finite-dimensional case, without the surjectivity assumption on ø. © 2015 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: Mathematical operators, Bounded linear operators; Finite dimensional; Infinite dimensional; Non-linear preserver; Operator; Pseudo spectrum; Spectral radii; Surjectivity, Matrix algebra
Subjects: Mathematics
Divisions: SCIENTIFIC PRODUCTION > Mathematics
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:48
URI: http://eprints.umi.ac.ma/id/eprint/3996

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