Tight uniform algebras and algebras of analytic functions

DOI10.1016/0022-1236(82)90034-9zbMath0569.46034OpenAlexW1965291693MaRDI QIDQ1061357

Brian J. Cole, Theodore W. Gamelin

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90034-9

zbMATH Keywords

rational approximationmaximal ideal spaceuniform algebraanalytic structureGleason parts\(S_ g(f)=gf+A\)characterizations of tight algebrasHankel-type operator

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items

Polynomial reflexivity in Banach spaces ⋮ The Pełczyński property for tight subspaces ⋮ Unnamed Item ⋮ Bourgain algebras and tightness in some algebras of analytic functions ⋮ On the commutant of operators of multiplication by univalent functions ⋮ TOTALLY NULL SETS FOR A(X) ⋮ Dual algebras and A-measures ⋮ A Uniform Algebra of Analytic Functions on a Banach Space ⋮ Hankel Operators on Bounded Analytic Functions ⋮ The maximal ideal space of analytic Lipschitz algebras ⋮ Reflexivity of N-tuples of contractions with rich joint left essential spectrum ⋮ Extensions of uniform algebras ⋮ Weak-star continuous homomorphisms and a decomposition of orthogonal measures ⋮ On an estimate of Axler and Shapiro ⋮ Hankel operators and uniform algebras ⋮ Function theory and M-ideals

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