Published June 2009
| Submitted
Journal Article
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L^1-spectrum of Banach space valued Ornstein-Uhlenbeck operators
- Creators
- Kozhan, Rostyslav
Abstract
We characterize the L^1(E,μ_∞)-spectrum of the Ornstein–Uhlenbeck operator Lf(x) = (1/2)TrQD^(2) + , where μ_∞ is the invariant measure for the Ornstein–Uhlenbeck semigroup generated by L. The main result covers the general case of an infinite-dimensional Banach space E under the assumption that the point spectrum of A* is nonempty and extends several recent related results.
Additional Information
© 2009 Springer. Received: 28 March 2008 Accepted: 25 May 2008 Published online: 19 June 2008. The author would like to thank J.M.A.M. van Neerven and Rostyslav O. Hryniv for helpful remarks.Attached Files
Submitted - 1210.1287.pdf
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Additional details
- Eprint ID
- 15774
- Resolver ID
- CaltechAUTHORS:20090911-111633551
- Created
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2009-10-02Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field