Algebras of Lorch analytic mappings defined on uniform algebras

DOI10.4171/PRIMS/56-3-1zbMath1450.46030OpenAlexW3036782707MaRDI QIDQ783765

Guilherme V. S. Mauro, Luiza Amália Moraes

Publication date: 4 August 2020

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/56-3-1

zbMATH Keywords

holomorphic mappingsuniform Banach algebraLorch analytic mappingspectrum of an algebra

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) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

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• The spectra of algebras of Lorch analytic mappings
• Extending bounded type holomorphic mappings on a Banach space
• The Hadamard product in the space of Lorch analytic mappings
• On the inverse function theorem in commutative Banach algebras
• Topological and algebraic properties of spaces of Lorch analytic mappings
• On the theory of regular functions in banach algebras
• Meromorphic Functions of Elements of a Commutative Banach Algebra
• The Theory of Analytic Functions in Normed Abelian Vector Rings
• A Theory of Analytic Functions in Banach Algebras

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