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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 ...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher version

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Publisher copy:
10.1016/j.jfa.2010.01.005

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Marie Curie Cancer Care More from this funder
Publisher:
Elsevier B.V. Publisher's website
Journal:
JOURNAL OF FUNCTIONAL ANALYSIS Journal website
Volume:
258
Issue:
11
Pages:
3855-3878
Publication date:
2010-06-01
DOI:
EISSN:
1096-0783
ISSN:
0022-1236
URN:
uuid:b3122ebf-3fba-4243-a3ec-92ba28f13dc2
Source identifiers:
53385
Local pid:
pubs:53385

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