L1-spectrum of Banach space valued Ornstein-Uhlenbeck operators
Classical Analysis and ODEs
2012-10-05 v1 Functional Analysis
Spectral Theory
Abstract
We characterize the -spectrum of the Ornstein-Uhlenbeck operator, where is the invariant measure for the Ornstein-Uhlenbeck semigroup. The main result covers the general case of an infinite-dimensional Banach space E under the assumption that the point spectrum of drift operator is nonempty. This extends several recent related results.
Keywords
Cite
@article{arxiv.1210.1287,
title = {L1-spectrum of Banach space valued Ornstein-Uhlenbeck operators},
author = {Rostyslav Kozhan},
journal= {arXiv preprint arXiv:1210.1287},
year = {2012}
}