Toeplitz-composition algebras generated by piecewise quasicontinuous symbols and a linear fractional non-automorphism fixing a boundary point

DOI10.1016/j.jfa.2022.109567OpenAlexW4281552844MaRDI QIDQ2149499

Yi Yan

Publication date: 29 June 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2022.109567

zbMATH Keywords

commutative Banach algebraToeplitz operatoressential spectrumcomposition operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Ideals, maximal ideals, boundaries (46J20) Linear composition operators (47B33) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Cites Work

• Linear fractional composition operators on \(H^ 2\)
• On operators commuting with Toeplitz operators modulo the compact operators
• Essential norms of composition operators and Aleksandrov measures
• Which linear-fractional composition operators are essentially normal?
• Toeplitz-composition \(\mathrm{C}^\ast\)-algebras induced by linear-fractional non-automorphism self-maps of the disk
• Fixed point composition and Toeplitz-composition \(C^\ast\)-algebras
• Linear relations in the Calkin algebra for composition operators
• The spectrum and essential spectrum of Toeplitz operators with harmonic symbols
• Functions of Vanishing Mean Oscillation
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