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Linear maps preserving the essential spectral radius

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2008 English Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 428, pages 1,041-1,045 (issn: 0024-3795, Copyright policy )
Authors: M. Sarih; M. Bendaoud; Abdellatif Bourhim;

doi: 10.1016/j.laa.2007.09.010

Linear maps preserving the essential spectral radius

Abstract

AbstractLet L(H) be the algebra of all bounded linear operators on an infinite dimensional complex Hilbert H. We characterize linear maps from L(H) onto itself that preserve the essential spectral radius.

Related Organizations
Keywords

Fredholm operators, Numerical Analysis, Algebra and Number Theory, Essential spectral radius, Semi-Fredholm operators, Calkin algebra, Discrete Mathematics and Combinatorics, Linear preservers, Geometry and Topology

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Average
Average
hybrid
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