The ultrametric spectral theory

DOI10.1007/BF02019983zbMath0435.46055MaRDI QIDQ1140278

Alain Escassut

Publication date: 1980

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

spectral theorymaximal idealJacobson radicalcomplete ultrametric algebraically closed fieldKrasner-Robba's Mittag-Leffler theoremultrametric Banach algebraultrametric holomorphic functional calculus

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) 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) Non-Archimedean analysis (26E30)

Related Items (6)

The corona problem on a complete ultrametric algebraically closed field ⋮ An Ahlfors Islands Theorem for non-archimedean meromorphic functions ⋮ About the ultrametric corona problem ⋮ The ultrametric corona problem ⋮ Multiplicative spectrum of ultrametric Banach algebras of continuous functions ⋮ Spectrum of ultrametric Banach algebras of strictly differentiable functions

Cites Work

• T-filtres, ensembles analytiques et transformation de Fourier \(p\)-adique
• Éléments analytiques et filtres perces sur un ensemble infraconnexe
• Non-Archimedean Banach algebras
• Rigid analytic spaces
• Spectre maximal d'une algèbre de Krasner
• Algèbres $L^1$ $p$-adiques
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