English

Asymmetric truncated Toeplitz operators on finite-dimensional spaces II

Functional Analysis 2020-07-29 v2

Abstract

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".

Keywords

Cite

@article{arxiv.1611.01231,
  title  = {Asymmetric truncated Toeplitz operators on finite-dimensional spaces II},
  author = {Bartosz Łanucha},
  journal= {arXiv preprint arXiv:1611.01231},
  year   = {2020}
}
R2 v1 2026-06-22T16:41:43.939Z