The algebra of bounded-type holomorphic functions on the ball

DOI10.1090/PROC/14471zbMath1447.46030arXiv1811.04103OpenAlexW2952334352WikidataQ122112892 ScholiaQ122112892MaRDI QIDQ4959722

Daniel Carando, Santiago Muro, Daniela M. Vieira

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/1811.04103

zbMATH Keywords

connected componentsholomorphic functionsAron-Berner extensionRiemann domainsspectrum of algebras

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Holomorphic maps in nonlinear functional analysis (46T25) Rings and algebras of continuous, differentiable or analytic functions (46E25) Algebras of holomorphic functions of several complex variables (32A38) Questions of holomorphy and infinite-dimensional manifolds (58B12) Riemann domains (32D26)

Related Items (2)

Aron-Berner extensions of almost Dunford-Pettis multilinear operators ⋮ The spectra of Banach algebras of holomorphic functions on polydisk-type domains

Cites Work

• Envelopes of holomorphy and extension of functions of bounded type
• Extending bounded type holomorphic mappings on a Banach space
• Spectra of algebras of holomorphic functions of bounded type
• Homomorphisms and composition operators on algebras of analytic functions of bounded type
• Cluster values of holomorphic functions of bounded type
• On the spectra of algebras of analytic functions
• A Hahn-Banach extension theorem for analytic mappings
• Regularity and Algebras of Analytic Functions in Infinite Dimensions
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