Journal article
Quasi-hyperbolic semigroups
- Abstract:
- We introduce the notion of quasi-hyperbolic operators and C0-semigroups. Examples include the push-forward operator associated with a quasi-Anosov diffeomorphism or flow. A quasi-hyperbolic operator can be characterised by a simple spectral property or as the restriction of a hyperbolic operator to an invariant subspace. There is a corresponding spectral property for the generator of a C0-semigroup, and it characterises quasi-hyperbolicity on Hilbert spaces but not on other Banach spaces. We exhibit some weaker properties which are implied by the spectral property. © 2010 Elsevier Inc. All rights reserved.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 239.8KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jfa.2010.01.005
Authors
- Publisher:
- Elsevier
- Journal:
- JOURNAL OF FUNCTIONAL ANALYSIS More from this journal
- Volume:
- 258
- Issue:
- 11
- Pages:
- 3855-3878
- Publication date:
- 2010-06-01
- DOI:
- EISSN:
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1096-0783
- ISSN:
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0022-1236
- Language:
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English
- Keywords:
- Pubs id:
-
53385
- UUID:
-
uuid:b3122ebf-3fba-4243-a3ec-92ba28f13dc2
- Local pid:
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pubs:53385
- Source identifiers:
-
53385
- Deposit date:
-
2012-12-19
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier BV
- Copyright date:
- 2010
- Notes:
- Copyright 2010 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
- Licence:
- Other
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