The ultrametric corona problem

DOI10.1134/S207004660901004XzbMath1187.30042MaRDI QIDQ974437

Alain Escassut, Nicolas Mainetti

Publication date: 3 June 2010

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

multiplicative semi-normsbounded analytic functionsnon-archimedean corona problem

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25) Corona theorems (30H80)

Cites Work

• Topological divisors of zero and Shilov boundary
• About the ultrametric corona problem
• The ultrametric spectral theory
• Spectral semi-norm of a \(p\)-adic Banach algebra
• On ideals of the algebra of \(p\)-adic bounded analytic functions on a disk
• 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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