Sequences in the Maximal Ideal Space of H ∞

DOI10.2307/2047795zbMath0703.46037OpenAlexW4252800983MaRDI QIDQ3482369

Pamela Gorkin, Sheldon Axler

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047795

zbMATH Keywords

maximal ideal spacebounded analytic functionsGleason partapproximative interpolationinterpolating subsequence

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) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (9)

Sequences separating fibers in the spectrum of \(H^{\infty}\) ⋮ Interpolation problems on the spectrum of \(H^{\infty}\) ⋮ Thin sequences in the corona of \(H ^{\infty }\) ⋮ The covering dimension of a distinguished subset of the spectrum \(M(H^\infty)\) of \(H^\infty\) and the algebra of real-symmetric and continuous functions on \(M(H^\infty)\) ⋮ Hoffman type theorems on continuous maps in the maximal ideal space of $\mathbf{H}^\infty$ ⋮ Norms and essential norms of linear combinations of endomorphisms ⋮ Douglas algebras on the boundary of the big disk ⋮ Bounded universal functions in one and several complex variables ⋮ Douglas algebras which are invariant under the Bourgain map

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