Interpolating Blaschke products and factorization in Douglas algebras

DOI10.1307/mmj/1029004270zbMath0781.46037OpenAlexW2048866199MaRDI QIDQ1174977

Pamela Gorkin, Raymond Mortini

Publication date: 25 June 1992

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029004270

zbMATH Keywords

factorizationBlaschke productmaximal ideal spaceDouglas algebraszero setssupport setsGleason partnontrivial pointstrivial points

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Ideals, maximal ideals, boundaries (46J20) Subalgebras of commutative topological algebras (46J30)

Related Items (17)

Sequences separating fibers in the spectrum of \(H^{\infty}\) ⋮ Frostman shifts of inner functions ⋮ Gleason parts and closed ideals in Douglas algebras ⋮ Characterizations of Hankel operators in the essential commutant of quasicontinuous Toeplitz operators ⋮ Bourgain algebras on the maximal ideal space of \(H^ \infty\) ⋮ Toeplitz algebras on the disk ⋮ A set in the fiber of \(M(H^ \infty)\) over the point 1 ⋮ Two new characterizations of Carleson-Newman Blaschke products ⋮ Factorization of Blaschke products and ideal theory in \(H^{\infty }\) ⋮ Spectral characteristics and stable ranks for the Sarason algebra \(H^\infty + C\) ⋮ Non-analytic sets andQC-level sets in the maximal ideal space ofH^∞ ⋮ Weak infinite products of Blaschke products ⋮ A new class of inner functions uniformly approximable by interpolating Blaschke products ⋮ Factorization of Blaschke products and primary ideals in \(H^{\infty }\) ⋮ On compact perturbations of Hankel operators and commutators of Toeplitz and Hankel operators ⋮ Gleason parts and countably generated closed ideals in $H^\infty $ ⋮ Higher order hulls in \(H^\infty\). II

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