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Truncated Toeplitz operators and complex symmetries


Authors: Hari Bercovici and Dan Timotin
Journal: Proc. Amer. Math. Soc. 146 (2018), 261-266
MSC (2010): Primary 47A45; Secondary 47B32, 47B35
DOI: https://doi.org/10.1090/proc/13717
Published electronically: July 20, 2017
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Abstract: We show that truncated Toeplitz operators are characterized by a collection of complex symmetries. This was conjectured by Kliś-Garlicka, Lanucha, and Ptak, and proved by them in some special cases.

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Additional Information

Hari Bercovici
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email: bercovic@indiana.edu

Dan Timotin
Affiliation: Simion Stoilow Institute of Mathematics, Romanian Academy, Calea Griviţei 21, Bucharest, Romania
Email: dan.timotin@imar.ro

DOI: https://doi.org/10.1090/proc/13717
Received by editor(s): February 3, 2017
Received by editor(s) in revised form: February 27, 2017
Published electronically: July 20, 2017
Additional Notes: The first author was supported in part by a grant of the National Science Foundation.
Communicated by: Stephan Ramon García
Article copyright: © Copyright 2017 American Mathematical Society

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