Reducing subspaces of $C_{00}$ contractions
Functional Analysis
2020-12-14 v1 Complex Variables
Abstract
Using the Sz.-Nagy--Foias theory of contractions, we obtain general results about reducibility for a class of completely nonunitary contractions. These are applied to certain truncated Toeplitz operators, previously considered by Li--Yang--Lu and Gu. In particular, a negative answer is given to a conjecture stated by the latter.
Keywords
Cite
@article{arxiv.2012.06406,
title = {Reducing subspaces of $C_{00}$ contractions},
author = {Chafiq Benhida and Emmanuel Fricain and Dan Timotin},
journal= {arXiv preprint arXiv:2012.06406},
year = {2020}
}