Quasi-hyperbolic semigroups

Author: 

Batty, C
Tomilov, Y

Publication Date: 

1 June 2010

Journal: 

Journal of Functional Analysis

Last Updated: 

2020-09-26T15:10:00.83+01:00

Issue: 

11

Volume: 

258

DOI: 

10.1016/j.jfa.2010.01.005

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: 

Submitted

Publication Type: 

Journal Article