A survey and new results on Banach algebras of ultrametric continuous functions

DOI10.1134/S2070046620030024zbMath1468.46079OpenAlexW3043542782MaRDI QIDQ2220941

Monique Chicourrat, Bertin Diarra, Alain Escassut

Publication date: 25 January 2021

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

Full work available at URL: https://doi.org/10.1134/s2070046620030024

zbMATH Keywords

maximal idealsmultiplicative semi-normsLipschitz functionsultrametric Banach algebras

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) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02)

Related Items (2)

Regularity of certain commutative Banach rings ⋮ Idempotents in an ultrametric Banach algebra

Cites Work

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• Multiplicative spectrum of ultrametric Banach algebras of continuous functions
• Topological divisors of zero and Shilov boundary
• Spectral semi-norm of a \(p\)-adic Banach algebra
• Ultrafilters and ultrametric Banach algebras of Lipschitz functions
• Finite codimensional maximal ideals in subalgebras of ultrametric uniformly continuous functions
• Shilov boundary for ultrametric algebras
• Spectre maximal d'une algèbre de Krasner
• Spectrum of ultrametric Banach algebras of strictly differentiable functions

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