Some problems concerning algebras of holomorphic functions

DOI10.7169/facm/1738zbMath1420.46041OpenAlexW2794455679MaRDI QIDQ2631744

Richard Martin Aron

Publication date: 16 May 2019

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1522202466

zbMATH Keywords

maximal ideal spacecluster value theoremholomorphic functions on the unit ball at a Banach space

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Algebras of holomorphic functions of several complex variables (32A38)

Cites Work

• Cluster values of analytic functions on a Banach space
• A reduction of the continuous homomorphism problem for F-algebras
• Interpolations by bounded analytic functions and the corona problem
• Michael’s problem and the Poincaré-Fatou-Bieberbach phenomenon
• A Hahn-Banach extension theorem for analytic mappings
• Regularity and Algebras of Analytic Functions in Infinite Dimensions
• The Adjoint of a Bilinear Operation
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