Differential Fréchet \(^*\)-algebras and characterization of smooth functions on \(\mathbb{R}\)

DOI10.1216/RMJ-2012-42-6-1777zbMath1269.46031OpenAlexW2047193341MaRDI QIDQ1945722

Fatima M. Azmi

Publication date: 9 April 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1361800605

zbMATH Keywords

inverse limitsGelfand-Naimark theoremdifferential Fréchet \(^*\)-algebra

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Differential algebra (12H05) Rings and algebras of continuous, differentiable or analytic functions (46E25) Limit algebras, subalgebras of (C^*)-algebras (47L40)

Cites Work

• Morita equivalence of smooth noncommutative tori
• On representing \(F^ *\)-algebras
• DenseQ-subalgebras of Banach andC*-algebras and unbounded derivations of Banach andC*-algebras
• Locally multiplicatively-convex topological algebras
• The space 𝐿^{𝜔} and convex topological rings
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