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Journal of Functional Analysis
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Hypercyclic algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2019 France English Publisher:Elsevier BVJournal:Journal of Functional Analysis, volume 276, pages 3,441-3,467 (issn: 0022-1236, Copyright policy )Funded by:ANR | FRONT2017
Authors: Bayart, Frédéric;

doi: 10.1016/j.jfa.2018.11.002

arXiv: 1804.01730

Hypercyclic algebras

Abstract

We prove the existence of algebras of hypercyclic vectors in three cases: convolution operators, composition operators, and backward shift operators.

Country
France
Related Organizations
Keywords

Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), Mathematics - Functional Analysis, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], Cyclic vectors, hypercyclic and chaotic operators, linear dynamical systems, hypercyclic operators, hypercyclic algebras

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    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).
    		 7
    popularity
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    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
7
Top 10%
Top 10%
Top 10%
Green
bronze