Complex symmetric Toeplitz operators on Hilbert spaces of analytic functions

Ching On Lo; Anthony Wai keung Loh

doi:10.1007/s00009-023-02385-3

Complex symmetric Toeplitz operators on Hilbert spaces of analytic functions

Division of Science, Engineering and Health Studies (SEHS)

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We characterize a general class of conjugations on the weighted Bergman spaces and all the Toeplitz operators that are complex symmetric with respect to these conjugations. Several results about the complex symmetry of Toeplitz operators in the literature are simple consequences of our characterizations.

Original language	English
Article number	175
Number of pages	12
Journal	Mediterranean Journal of Mathematics
Volume	20
Issue number	3
DOIs	https://doi.org/10.1007/s00009-023-02385-3
Publication status	Published - Jun 2023

Keywords

complex symmetric
conjugations
Hardy spaces
Toeplitz operators
weighted Bergman spaces

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10.1007/s00009-023-02385-3

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title = "Complex symmetric Toeplitz operators on Hilbert spaces of analytic functions",

abstract = "We characterize a general class of conjugations on the weighted Bergman spaces and all the Toeplitz operators that are complex symmetric with respect to these conjugations. Several results about the complex symmetry of Toeplitz operators in the literature are simple consequences of our characterizations.",

keywords = "complex symmetric, conjugations, Hardy spaces, Toeplitz operators, weighted Bergman spaces",

author = "Lo, \{Ching On\} and Loh, \{Anthony Wai keung\}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2023",

month = jun,

doi = "10.1007/s00009-023-02385-3",

language = "English",

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T1 - Complex symmetric Toeplitz operators on Hilbert spaces of analytic functions

AU - Lo, Ching On

AU - Loh, Anthony Wai keung

PY - 2023/6

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N2 - We characterize a general class of conjugations on the weighted Bergman spaces and all the Toeplitz operators that are complex symmetric with respect to these conjugations. Several results about the complex symmetry of Toeplitz operators in the literature are simple consequences of our characterizations.

AB - We characterize a general class of conjugations on the weighted Bergman spaces and all the Toeplitz operators that are complex symmetric with respect to these conjugations. Several results about the complex symmetry of Toeplitz operators in the literature are simple consequences of our characterizations.

KW - complex symmetric

KW - conjugations

KW - Hardy spaces

KW - Toeplitz operators

KW - weighted Bergman spaces

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Complex symmetric Toeplitz operators on Hilbert spaces of analytic functions

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