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Mathematical Proceedings of the Royal Irish Academy
Article
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Preprint . 2018
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Article . 2020
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Mathematical Proceedings of the Royal Irish Academy
Article . 2020 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2018
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Denseness of sets of supercyclic vectors

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2020Embargo end date: 01 Apr 2018 English Publisher:Project MUSEJournal:Mathematical Proceedings of the Royal Irish Academy, volume 120A, pages 7-18 (eissn: 2009-0021, Copyright policy )
Authors: Kubrusly, Carlos S.;

doi: 10.1353/mpr.2020.0005 , 10.48550/arxiv.1804.02613

arXiv: 1804.02613

Denseness of sets of supercyclic vectors

Abstract

The sets of strongly supercyclic, weakly l-sequentially supercyclic, weakly sequentially supercyclic, and weakly supercyclic vectors for an arbitrary normed-space operator are all dense in the normed space, regardless the notion of denseness one is considering, provided they are nonempty.

Keywords

Mathematics - Functional Analysis, Invariant subspaces of linear operators, FOS: Mathematics, Cyclic vectors, hypercyclic and chaotic operators, 47A16, 47A15, Functional Analysis (math.FA)

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    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!
4
Top 10%
Average
Average
Green
bronze