Corona-Type Theorems and Division in Some Function Algebras on Planar Domains

DOI10.1007/978-1-4939-1255-1_7zbMath1323.30072arXiv1301.7668OpenAlexW1829870130MaRDI QIDQ5260878

Rudolf Rupp, Raymond Mortini

Publication date: 30 June 2015

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7668

zbMATH Keywords

idealsalgebras of analytic functionsCorona-type theoremsdivision in algebras of smooth functionsNullstellensatz for \(A(K)\)

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) Algebras of analytic functions of one complex variable (30H50)

Related Items (1)

An analytic approach to the degree bound in the Nullstellensatz

Cites Work

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• The Faà di Bruno formula revisited
• A solution to the Bézout equation in \(A(K)\) without Gelfand theory
• The Bass stable rank for the real Banach algebra \(A(K)_{\text{sym}}\)
• Simultaneous stabilization in A_R(D)
• The Forelli Problem Concerning Ideals in the Disk Algebra A( D )

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