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Characterizations of asymmetric truncated Toeplitz operators

Functional Analysis 2017-10-18 v2

Abstract

The aim of this paper is to investigate asymmetric truncated Toeplitz operators with L2L^2 symbols between two different model spaces given by inner functions such that one divides the other. Characterizations of these operators are given in terms of rank two operators. A description of the class of symbols for which the corresponding asymmetric truncated Toeplitz operator is equal to the zero operator is also given.

Keywords

Cite

@article{arxiv.1607.03342,
  title  = {Characterizations of asymmetric truncated Toeplitz operators},
  author = {Cristina Câmara and Joanna Jurasik and Kamila Kliś--Garlicka and Marek Ptak},
  journal= {arXiv preprint arXiv:1607.03342},
  year   = {2017}
}
R2 v1 2026-06-22T14:52:21.046Z