Wold decompositions for operators close to isometries
Functional Analysis
2017-04-14 v1
Abstract
In Bergman and Dirichlet spaces, the shift operator is not an isometry, but it is a left invertible operator. In this paper we give conditions on the left invertible operators such that a operator version, in the sense of Rosenblum and Rovnyak, of the Wold decomposition to take place.
Cite
@article{arxiv.1704.04200,
title = {Wold decompositions for operators close to isometries},
author = {Laura Gavruta},
journal= {arXiv preprint arXiv:1704.04200},
year = {2017}
}
Comments
12 pages