A generalization of the Arens extension for Banach algebras

DOI10.1016/j.indag.2014.10.003zbMath1321.46028OpenAlexW2039081183MaRDI QIDQ2017788

Olena Taras, Andriy V. Zagorodnyuk

Publication date: 23 March 2015

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2014.10.003

zbMATH Keywords

Banach algebrasArens productholomorphic functions of bounded typeArens-Berner extension

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

• A multiplicative convolution on the spectra of algebras of symmetric analytic functions
• A Canonical Extension for Analytic Functions on Banach Spaces
• A Hahn-Banach extension theorem for analytic mappings
• A Theorem on Polynomial-Star Approximation
• Weak-Star Continuous Analytic Functions
• Regularity and Algebras of Analytic Functions in Infinite Dimensions
• Spectra of algebras of entire functions on Banach spaces
• The Adjoint of a Bilinear Operation
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