Topological and algebraic properties of spaces of Lorch analytic mappings

DOI10.1002/MANA.201400108zbMath1433.46025OpenAlexW1926858527MaRDI QIDQ2808130

Guilherme V. S. Mauro, Alex F. Pereira, Luiza Amália Moraes

Publication date: 26 May 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400108

zbMATH Keywords

Banach algebraFréchet algebraholomorphic mappingspectrum of an algebra(L)-analytic mapping

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Banach analytic manifolds and spaces (32K05)

Related Items (2)

Algebras of Lorch analytic mappings defined on uniform algebras ⋮ Absolute Schauder decompositions and linearization of holomorphic mappings of bounded type

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
• On the theory of regular functions in banach algebras
• The Schur property on projective and injective tensor products
• Biduality in Spaces of Holomorphic Functions
• Meromorphic Functions of Elements of a Commutative Banach Algebra
• The Theory of Analytic Functions in Normed Abelian Vector Rings

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