On spectra of Hankel operators on the polydisc

Abstract We give sufficient conditions for the essential spectrum of the Hermitian square of a class of Hankel operators on the Bergman space of the polydisc to contain intervals. We also compute the spectrum in case the symbol is a monomial.

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Publication Details

Journal
Canadian Mathematical Bulletin
Published
2025-01-09
DOI
https://doi.org/10.4153/s0008439524000845
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On spectra of Hankel operators on the polydisc

Željko Čučković, Zhenghui Huo, Sönmez Şahutoğlu
Canadian Mathematical Bulletin
Holomorphic and Operator Theory
article

On spectra of Hankel operators on the polydisc

Željko Čučković, Zhenghui Huo, Sönmez Şahutoğlu
article en

Abstract

Abstract We give sufficient conditions for the essential spectrum of the Hermitian square of a class of Hankel operators on the Bergman space of the polydisc to contain intervals. We also compute the spectrum in case the symbol is a monomial.

Canadian Mathematical BulletinVol. 68(1)
Duke Kunshan University (CN), University of Toledo (US)
Openalex Percentile: Top 99%
Holomorphic and Operator Theory
DOIOpen Access PDFOpenAlex
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On spectra of Hankel operators on the polydisc — Željko Čučković, Zhenghui Huo, et al. · Canadian Mathematical Bulletin (2025) | TGRS Research Map | TGRS