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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2023
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Bulletin de la Société mathématique de France
Article . 2024 . Peer-reviewed
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Topologically stable linear operators

descriptionPublicationkeyboard_double_arrow_right Article 26 Feb 2024Publisher:Societe Mathematique de FranceJournal:Bulletin de la Société mathématique de France (issn: 0037-9484, eissn: 2102-622X, Copyright policy )
Authors: Lee, K.; Morales, C. A.; Nguyen, N.;

doi: 10.24033/bsmf.2880

Topologically stable linear operators

Abstract

Summary: In this study, we establish the equivalence of topological, structural, and strong structural stability for invertible linear operators on finite-dimensional Banach spaces. Furthermore, we demonstrate that every strongly structurally stable bilateral weighted shift also exhibits topological stability. As a consequence, there exist topologically stable operators that are not hyperbolic.

Related Organizations
Keywords

Banach space, Stability of topological dynamical systems, Cyclic vectors, hypercyclic and chaotic operators, linear operator, topological stability

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selected citations
These citations are derived from selected sources.
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!
1
Average
Average
Average
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