Toeplitz Operators in Multiply Connected Regions

DOI10.2307/2373633zbMath0302.47025OpenAlexW3021079912MaRDI QIDQ4057183

M. B. Abrahamse

Publication date: 1974

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bams/1183532831

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 (28)

Symmetric and self-adjoint Toeplitz operators on multiply connected plane domains ⋮ On the existence of eigenvalues of Toeplitz operators on planar regions ⋮ On the Spectral Character of Toeplitz Operators on Multiply Connected Domains ⋮ Some exact sequences for Toeplitz algebras of spherical isometries ⋮ Spectra for Toeplitz operators associated with a constrained subalgebra ⋮ Norms of Hankel Operators and Uniform Algebras ⋮ \(C^*\)-algebras generated by subnormal operators ⋮ Bundle Shifts and Ahlfors Functions ⋮ Self-adjoint Toeplitz operators associated with representing measures on multiply connected planar regions and their eigenvalues ⋮ The spectrum of a Toeplitz operator with a multiplicatively periodic symbol ⋮ Reductivity and bundle shifts ⋮ Toeplitz operators on the space of all holomorphic functions on finitely connected domains ⋮ Interpolating sequences for pairs of spaces ⋮ One-sided invertibility of Toeplitz operators on the space of all holomorphic functions on finitely connected domains ⋮ Interpolation problems and Toeplitz operators on multiply connected domains ⋮ Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls ⋮ Generalized interpolation in a multiply connected region ⋮ Toeplitz operators on abstract Hardy spaces ⋮ Indefinite Hardy spaces on finite bordered Riemann surfaces ⋮ Variance of operators and derivations ⋮ Computing the Fredholm index of Toeplitz operators with continuous symbols ⋮ A class of subnormal operators related to multiply-connected domains ⋮ Toeplitz operators for uniform algebras ⋮ Toeplitz operators on strongly pseudoconvex domains in Stein spaces ⋮ Restricted Left Invertible Toeplitz Operators on Multiply Connected Domains ⋮ Curvature inequalities for operators in the Cowen-Douglas class of a planar domain ⋮ Szegő and Widom theorems for finite codimensional subalgebras of a class of uniform algebras ⋮ Abrahamse's interpolation theorem and Fuchsian groups

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