Asymmetric truncated Toeplitz operators on finite-dimensional spaces II

Bartosz Łanucha

Published 2016-11-04Version 1

In this paper we present some consequences of the description of matrix representations of asymmetric truncated Toeplitz operators acting between finite-dimensional model spaces. In particular, we prove that these operators can be characterized using modified compressed shifts or the notion of shift invariance. We also describe rank-one asymmetric truncated Toeplitz operators acting between finite-dimensional model spaces. This paper is a sequel to the paper of J. Jurasik and B. \L anucha "Asymmetric truncated Toeplitz operators on finite-dimensional spaces".