Melbourne, Ian, Paviato, Nicolo and Terhesiu, Dalia (2022) Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems. Israel Journal of Mathematics, 247 . pp. 987-991. doi:10.1007/s11856-021-2273-3 ISSN 0021-2172.

Preview

PDF WRAP-Nonexistence-spectral-gaps-spaces-continuous-time-dynamical-systems-2021.pdf - Accepted Version - Requires a PDF viewer. Download (721Kb) | Preview

Request Changes to record.

Abstract

We show that there is a natural restriction on the smoothness of spaces where the transfer operator for a continuous dynamical system has a spectral gap. Such a space cannot be embedded in a Hölder space with Hölder exponent greater than ½ unless it consists entirely of coboundaries.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Lipschitz spaces, Function spaces , Dynamics
Journal or Publication Title:	Israel Journal of Mathematics
Publisher:	Magnes Press
ISSN:	0021-2172
Official Date:	April 2022
Dates:	Date Event April 2022 Published 24 December 2021 Available 7 April 2021 Accepted
Volume:	247
Page Range:	pp. 987-991
DOI:	10.1007/s11856-021-2273-3
Status:	Peer Reviewed
Publication Status:	Published
Reuse Statement (publisher, data, author rights):	This is a post-peer-review, pre-copyedit version of an article published in Israel Journal of Mathematics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11856-021-2273-3
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	13 April 2021
Date of first compliant Open Access:	24 December 2022
Related URLs:	Publisher
Open Access Version:	ArXiv

Request changes or add full text files to a record

Repository staff actions (login required)

View Item

Downloads