Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators
Functional Analysis
2009-11-14 v2
Abstract
Compressions of Toeplitz operators to coinvariant subspaces of are called truncated Toeplitz operators. We study two questions related to these operators. The first, raised by Sarason, is whether boundedness of the operator implies the existence of a bounded symbol; the second is the reproducing kernel thesis. We show that in general the answer to the first question is negative, and we exhibit some classes of spaces for which the answers to both questions are positive.
Cite
@article{arxiv.0909.0131,
title = {Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators},
author = {A. Baranov and Isabelle Chalendar and Emmanuel Fricain and Javad Mashreghi and Dan Timotin},
journal= {arXiv preprint arXiv:0909.0131},
year = {2009}
}
Comments
Version 2 (33 pages)