Name: ε-hypercyclic operators that are not δ-hypercyclic for δ < ε
Creator: Bayart, Frédéric
Keywords: [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], FOS: Mathematics, Functional Analysis (math.FA)

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2024Embargo end date: 01 Jan 2023 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 529, page 127,278 (issn: 0022-247X,

Authors: Bayart, Frédéric;

doi: 10.1016/j.jmaa.2023.127278 , 10.48550/arxiv.2303.16677

ε-hypercyclic operators that are not δ-hypercyclic for δ < ε

- Summary
- Subjects
- Metrics

Abstract

For every fixed $ε$ $\in$ (0, 1), we construct an operator on the separable Hilbert space which is $δ$-hypercyclic for all $δ$ $\in$ ($ε$, 1) and which is not $δ$-hypercyclic for all $δ$ $\in$ (0, $ε$).

Related Organizations

French National Centre for Scientific Research
France
University of Clermont Auvergne
France
Clermont Université
France

Keywords

[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], FOS: Mathematics, Functional Analysis (math.FA)

Impact byBIP!

	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).	0
	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.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green