Characterization of Fréchet algebras \(C^ \infty (X)\)

DOI10.1007/BF01198074zbMath0884.46021OpenAlexW2604508883MaRDI QIDQ1924566

R. Faro, J. A. Navarro

Publication date: 1 April 1998

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198074

zbMATH Keywords

Fréchet \(R\)-algebralocally Euclidean spectrum of dimension \(n\)real-valued smooth functions

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Locally convex Fréchet spaces and (DF)-spaces (46A04) Rings and algebras of continuous, differentiable or analytic functions (46E25) Representations of commutative topological algebras (46J25)

Cites Work

• Algebras of finite differential order and the operational calculus
• Localization in the rings of continuous functions
• Uncountably many exotic \(R^ 4\)'s in standard \(4\)-space
• Topological localization in Fréchet algebras
• Partitions of unity in F-algebras
• Produits tensoriels topologiques et espaces nucléaires
• Locally multiplicatively-convex topological algebras
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