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Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems
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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.
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Official URL: https://doi.org/10.1007/s11856-021-2273-3
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 | ||||||||
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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: |
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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: | |||||||||
Open Access Version: |
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