# Boundary values in range spaces of co-analytic truncated Toeplitz operators

@article{Hartmann2010BoundaryVI, title={Boundary values in range spaces of co-analytic truncated Toeplitz operators}, author={Andreas Hartmann and William T. Ross}, journal={Publicacions Matematiques}, year={2010}, volume={56}, pages={191-223} }

Functions in backward shift invariant subspaces have nice analytic continuation properties outside the spectrum of the inner function de ning the space. Inside the spectrum of the inner function, Ahern and Clark showed that under some distribution condition on the zeros and the singular measure of the inner function, it is possible to obtain non-tangential boundary values of every function in the backward shift invariant subspace as well as for their derivatives up to a certain order. Here we…

## 4 Citations

### Range Spaces of Co-Analytic Toeplitz Operators

- MathematicsCanadian Journal of Mathematics
- 2018

Abstract In this paper we discuss the range of a co-analytic Toeplitz operator. These range spaces are closely related to de Branges–Rovnyak spaces (in some cases they are equal as sets). In order to…

### Reducing Subspaces of the Dual Truncated Toeplitz Operator

- MathematicsJournal of Function Spaces
- 2018

We define the dual truncated Toeplitz operators and give some basic properties of them. In particular, spectrum and reducing subspaces of some special dual truncated Toeplitz operator are…

### The Theory of H(b) Spaces

- Mathematics
- 2016

Preface 16. The spaces M(A) and H(A) 17. Hilbert spaces inside H2 18. The structure of H(b) and H(bI ) 19. Geometric representation of H(b) spaces 20. Representation theorems for H(b) and H(bI ) 21.…

### Recent Progress on Truncated Toeplitz Operators

- Mathematics
- 2013

This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in the field since…

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