About the ultrametric corona problem

DOI10.1016/J.BULSCI.2007.09.002zbMath1223.46066OpenAlexW2146743819MaRDI QIDQ932525

Alain Escassut, Nicolas Mainetti

Publication date: 11 July 2008

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2007.09.002

zbMATH Keywords

multiplicative semi-normsbounded analytic functionsnon-archimedean corona problem

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Ideals, maximal ideals, boundaries (46J20) Non-Archimedean valued fields (12J25)

Related Items (8)

The corona problem on a complete ultrametric algebraically closed field ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Invariant functions on \(p\)-divisible groups and the \(p\)-adic corona problem ⋮ The ultrametric corona problem ⋮ Nonmaximal ideals and the Berkovich space of the algebra of bounded analytic functions ⋮ Multiplicative spectrum of ultrametric Banach algebras of continuous functions ⋮ Spectrum of ultrametric Banach algebras of strictly differentiable functions

Cites Work

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• Topological divisors of zero and Shilov boundary
• The ultrametric spectral theory
• Spectral semi-norm of a \(p\)-adic Banach algebra
• Interpolations by bounded analytic functions and the corona problem
• Les zéros des fonctions analytiques d'une variable sur un corps valué complet
• Spectre maximal d'une algèbre de Krasner

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