The cluster value problem in spaces of continuous functions

DOI10.1090/S0002-9939-2014-12190-3zbMath1314.32011arXiv1211.2339OpenAlexW2962933386MaRDI QIDQ5179323

William B. Johnson, Sofía Ortega Castillo

Publication date: 19 March 2015

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

Full work available at URL: https://arxiv.org/abs/1211.2339

zbMATH Keywords

Banach algebras of holomorphic functionsholomorphic functions on the unit ball of a Banach space

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Algebras of holomorphic functions of several complex variables (32A38)

Related Items

A look into homomorphisms between uniform algebras over a Hilbert space, Holomorphic functions with large cluster sets, The polynomial cluster value problem, The cluster value problem for Banach spaces, Cluster values for algebras of analytic 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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• \(C^*\)-algebras and \(W^*\)-algebras.
• Analytic disks in fibers over the unit ball of a Banach space
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• Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).
• The second dual of a Banach algebra
• Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines bornés symétriques
• A Hahn-Banach extension theorem for analytic mappings
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