Cluster values of analytic functions on a Banach space

DOI10.1007/s00208-011-0681-0zbMath1254.46057OpenAlexW2037964030MaRDI QIDQ425149

Silvia Lassalle, Manuel Maestre, Daniel Carando, Richard Martin Aron, Theodore W. Gamelin

Publication date: 7 June 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11336/19995

zbMATH Keywords

analytic functionBanach spacecluster valuecorona type theorem

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) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (13)

Some problems concerning algebras of holomorphic functions ⋮ A characterization of the Schur property through the disk algebra ⋮ A look into homomorphisms between uniform algebras over a Hilbert space ⋮ Analytic structure in fibers of \(\mathcal{H}^\infty( B_{c_0})\) ⋮ Holomorphic functions with large cluster sets ⋮ The polynomial cluster value problem ⋮ Holomorphic functions with distinguished properties on infinite dimensional spaces ⋮ The cluster value problem for Banach spaces ⋮ Cluster values for algebras of analytic functions ⋮ Gleason parts for algebras of holomorphic functions in infinite dimensions ⋮ The cluster value problem in spaces of continuous functions ⋮ Cluster values of holomorphic functions of bounded type ⋮ The spectra of Banach algebras of holomorphic functions on polydisk-type domains

Cites Work

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• Fibers over the sphere of a uniformly convex Banach space
• Localization of the corona problem
• The Maximal Ideal Space of H^∞ + C on the ball in Cⁿ

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