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arXiv · 1607.03342

Characterizations of asymmetric truncated Toeplitz operators

Cristina Câmara·Joanna Jurasik·Kamila Kliś--Garlicka·Marek Ptak
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Abstract

The aim of this paper is to investigate asymmetric truncated Toeplitz operators with $L^2$ 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.

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Cristina Câmara, Joanna Jurasik, Kamila Kliś--Garlicka, Marek Ptak. 2016-07-12. Characterizations of asymmetric truncated Toeplitz operators. https://doi.org/10.1215/17358787-2017-0029

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