Homogeneous algebras on the circle. I: Ideals of analytic functions

DOI10.5802/aif.422zbMath0228.46046OpenAlexW2316653178MaRDI QIDQ2549841

Colin Bennett, John E. Gilbert

Publication date: 1972

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1972__22_3_1_0

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20)

Related Items

Synthèse spectrale dans certaines algèbres de Beurling sur le cercle unité ⋮ Bounded analytic functions and closed ideals ⋮ Sinclair homomorphisms and semigroups of analytic functions ⋮ Closed ideals of the algebra of absolutely convergent Taylor series ⋮ A Pair of Indices for Function Spaces on the Circle ⋮ Invariant subspaces in the theory of operators and theory of functions ⋮ Theorems of Katznelson-Tzafriri type for contractions ⋮ Outer Functions in Function Algebras on the Bidisc ⋮ On polynomially bounded operators acting on a Banach space

Cites Work

• On the existence of a largest subharmonic minorant of a given function
• On the spectral analysis of bounded functions
• Continuous Functions on Compact Spaces Without Perfect Subsets
• Homogeneous Algebras on Compact Abelian Groups
• Invariant Subspaces of Continuous Functions
• Questions of regularity connected with the Phragmen-Lindelöf principle
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