Multiplicative spectrum of ultrametric Banach algebras of continuous functions

DOI10.1016/J.TOPOL.2010.08.003zbMath1210.54036OpenAlexW2073758695MaRDI QIDQ712203

Alain Escassut, Nicolas Mainetti

Publication date: 28 October 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2010.08.003

zbMATH Keywords

multiplicative semi-normscontinuous functionsmaximal spectrumultrametric Banach algebras

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Algebraic properties of function spaces in general topology (54C40) Commutative Banach algebras and commutative topological algebras (46J99)

Related Items (6)

Unnamed Item ⋮ Unnamed Item ⋮ A survey and new results on Banach algebras of ultrametric continuous functions ⋮ On maximal ideals which are also minimal prime ideals in certain Banach rings ⋮ Spectrum of ultrametric Banach algebras of strictly differentiable functions ⋮ Ultrafilters and ultrametric Banach algebras of Lipschitz functions

Cites Work

• 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
• Shilov boundary for ultrametric algebras
• The Ultrametric Corona Problem and spherically complete fields
• Spectre maximal d'une algèbre de Krasner
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