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arXiv:1607.03342 [math.FA]AbstractReferencesReviewsResources

Characterizations of asymmetric truncated Toeplitz operators

Joanna Blicharz, Cristina Câmara, Kamila Kliś--Garlicka, Marek Ptak

Published 2016-07-12Version 1

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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