Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 11, Number 4 (2017), 899-922.
Characterizations of asymmetric truncated Toeplitz operators
The aim of this paper is to investigate asymmetric truncated Toeplitz operators with -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 , and the relations with the corresponding symbols are studied.
Banach J. Math. Anal. Volume 11, Number 4 (2017), 899-922.
Received: 15 September 2016
Accepted: 15 December 2016
First available in Project Euclid: 30 August 2017
Permanent link to this document
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]
Câmara, Crisina; Jurasik, Joanna; Kliś-Garlicka, Kamila; Ptak, Marek. Characterizations of asymmetric truncated Toeplitz operators. Banach J. Math. Anal. 11 (2017), no. 4, 899--922. doi:10.1215/17358787-2017-0029. https://projecteuclid.org/euclid.bjma/1504080092