Symmetric and self-adjoint Toeplitz operators on multiply connected plane domains

DOI10.1016/0022-1236(84)90058-2zbMath0598.47030OpenAlexW1997471192MaRDI QIDQ1079794

Joel D. Pincus, Jingbo Xia

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90058-2

zbMATH Keywords

harmonic measurespectral propertiesToeplitz' operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (10)

Spectral convergence of self-adjoint operators and generalized wave operators ⋮ On the existence of eigenvalues of Toeplitz operators on planar regions ⋮ On the Spectral Character of Toeplitz Operators on Multiply Connected Domains ⋮ Principal currents ⋮ Toeplitz type operators, determining functions, principal functions, and trace formulas ⋮ A trace formula for subnormal operator tuples ⋮ Contraction operators and principal currents ⋮ On the spectral character of Toeplitz operators on planar regions ⋮ Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols ⋮ The analytic model of a hyponormal operator with rank one self-commutator

Cites Work

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• Reciprocity for Fredholm operators (Lefschetz numbers/Steinberg symbols/holomorphic chains/local index)
• Symmetric Wiener-Hopf and Toeplitz operators
• Almost commuting pairs of unitary operators and flat currents
• Commutators, symbols, and determining functions
• Commutators and Absolutely Continuous Operators
• Toeplitz Operators in Multiply Connected Regions
• A Concrete Spectral Theory for Self-Adjoint Toeplitz Operators
• On the Spectral Theory of Singular Integral Operators

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