Isometric representations of some quotients of \(H^\infty\) of an annulus

DOI10.1007/BF01332661zbMath0988.46042MaRDI QIDQ5937381

Scott A. McCullough

Publication date: 22 July 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Agler family of operatorsextremal elementgeneralized Szegö kernelsisometric representationsmatrix generalization of the Trisecant identityPick matrixrestriction of the bundle shiftstheorem of Abrahamse

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20)

Related Items (4)

Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting ⋮ Agler-commutant lifting on an annulus ⋮ Interpolation in semigroupoid algebras ⋮ Abrahamse's interpolation theorem and Fuchsian groups

Cites Work

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• Rational dilation on an annulus
• The Pick interpolation theorem for finitely connected domains
• A class of subnormal operators related to multiply-connected domains
• Theta functions on Riemann surfaces
• Reproducing kernels for Hardy spaces on multiply connected domains
• Explicit Construction of Universal Operator Algebras and Applications to Polynomial Factorization
• On the Szego Kernel of an Annulus
• Hereditary Classes of Operators and Matrices
• The 𝐻^{𝑝} spaces of an annulus
• Generalized Interpolation in H ∞
• Operator algebras of idempotents

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