Toeplitz algebra and spectra of Toeplitz operators on the harmonic Dirichlet space

DOI10.1007/s43037-019-00037-xOpenAlexW3011018911WikidataQ114686976 ScholiaQ114686976MaRDI QIDQ778747

Shuaibing Luo, Xian Feng Zhao

Publication date: 20 July 2020

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

Full work available at URL: https://doi.org/10.1007/s43037-019-00037-x

zbMATH Keywords

spectrumToeplitz operatorToeplitz algebraharmonic Dirichlet space

Mathematics Subject Classification ID

Dirichlet forms (31C25) Plane and space curves (14H50) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Cites Work

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• Essentially hyponormal multiplication operators on the Dirichlet space
• Algebraic properties of Toeplitz operators on the harmonic Dirichlet space
• Toeplitz and Hankel operators with \(L^{\infty ,1}\) symbols on Dirichlet space
• A new characterization of Dirichlet type spaces and applications
• Spectrum, asymptotic invertibility and Szegö type theorems of Dirichlet Toeplitz operators
• Toeplitz algebra and Hankel algebra on the harmonic Bergman space
• Toeplitz operator for Dirichlet space through Sobolev multiplier algebra
• Kernels and spectrum of Toeplitz operators on the Dirichlet space
• The spectrum and essential spectrum of Toeplitz operators with harmonic symbols
• Cyclic Vectors in the Dirichlet Space
• Composition and multiplication operators on the derivative Hardy space
• Toeplitz operators on the Dirichlet space

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