Banach Journal of Mathematical Analysis

Characterizations of asymmetric truncated Toeplitz operators

Crisina Câmara, Joanna Jurasik, Kamila Kliś-Garlicka, and Marek Ptak

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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. The class of symbols corresponding to the zero operator is described. Asymmetric truncated Toeplitz operators are characterized in terms of operators of rank at most $2$, and the relations with the corresponding symbols are studied.

Article information

Banach J. Math. Anal. (2017), 24 pages.

Received: 15 September 2016
Accepted: 15 December 2016
First available in Project Euclid: 30 August 2017

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Digital Object Identifier

Primary: 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15]
Secondary: 30H10: Hardy spaces 47A15: Invariant subspaces [See also 47A46]

model space truncated Toeplitz operator kernel functions conjugation


Câmara, Crisina; Jurasik, Joanna; Kliś-Garlicka, Kamila; Ptak, Marek. Characterizations of asymmetric truncated Toeplitz operators. Banach J. Math. Anal., advance publication, 30 August 2017. doi: 10.1215/17358787-2017-0029.

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