Weyl's theorem for Toeplitz operators with polynomial symbols on the harmonic Bergman space

DOI10.1016/j.jmaa.2020.124770OpenAlexW3102779682MaRDI QIDQ1995923

Chongchao Wang, Xian Feng Zhao

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124770

zbMATH Keywords

Toeplitz operatorWeyl's theoremharmonic Bergman space

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Cites Work

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• Weyl's theorem for operator matrices
• On the Weyl spectrum
• Weyl's theorem for algebraically paranormal operators
• Commuting Toeplitz operators on the harmonic Bergman space
• Toeplitz algebra and Hankel algebra on the harmonic Bergman space
• On the isolated points of the spectrum of paranormal operators
• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• Toeplitz and Hankel Operators on Bergman Spaces
• Weyl’s theorem holds for algebraically hyponormal operators
• Invariance of the essential spectrum