An equivalence to the Gleason problem

DOI10.1016/j.jmaa.2010.05.024zbMath1205.46031OpenAlexW1977160090MaRDI QIDQ984792

Linus Carlsson

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.024

zbMATH Keywords

Banach algebrasholomorphic functionsGleason problem

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (3)

The Gleason's problem on normal weight general function spaces in the unit ball of \(\mathbb{C}^n\) ⋮ Gleason's problem in infinite dimension ⋮ Algebras of symmetric holomorphic functions of several complex variables

Cites Work

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• Analytic properties in the spectrum of certain Banach algebras
• On Gleason's decomposition for \(A^{\infty}(\bar D)\)
• Hölder estimates for the (partial d) equation with a support condition
• Finitely generated ideals in \(A(\Omega)\)
• The Gleason property for Reinhardt domains
• Solving the Gleason problem on linearly convex domains
• On the spectrum of A(Ω) and $H^∞(Ω)$
• Nebenhülle and the Gleason problem
• Spectrum of certain Banach algebras and ∂-problems

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