Journal title
Journal of Functional Analysis
DOI
10.1016/j.jfa.2010.01.005
Issue
11
Volume
258
Last updated
2024-03-27T20:24:10.41+00:00
Page
3855-3878
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.
Symplectic ID
53385
Submitted to ORA
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Publication type
Journal Article
Publication date
01 Jun 2010