Composition operators on uniform algebras, essential norms, and hyperbolically bounded sets

DOI10.1090/S0002-9947-06-04098-0zbMath1118.47014OpenAlexW1592969631MaRDI QIDQ3420393

Mikael Lindström, Pablo Galindo, Theodore W. Gamelin

Publication date: 1 February 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04098-0

zbMATH Keywords

essential normuniform algebracomposition operatorGleason parthyperbolical boundedness

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on Banach algebras (47B48) Linear composition operators (47B33)

Related Items

A look into homomorphisms between uniform algebras over a Hilbert space ⋮ Essential norm of weighted composition operators and difference of composition operators between standard weighted Bergman spaces ⋮ Homomorphisms between algebras of holomorphic functions on the infinite polydisk ⋮ Quasicompact and Riesz endomorphisms of Banach algebras ⋮ Spectra of weighted composition operators on algebras of analytic functions on banach spaces

Cites Work

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• Embedding Riemann surfaces in maximal ideal spaces
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• COMPOSITION OPERATORS ON UNIFORM ALGEBRAS AND THE PSEUDOHYPERBOLIC METRIC
• The identity is isolated among composition operators
• Linear Extension Operators for Spaces and Algebras of Functions
• Norms and essential norms of linear combinations of endomorphisms

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