\(C^{\infty}\)-algebras from the functional analytic view point

DOI10.1016/0022-4049(87)90045-4zbMath0621.46046OpenAlexW2054452483WikidataQ62597204 ScholiaQ62597204MaRDI QIDQ1089874

Gerd Kainz, Andreas Kriegl, Peter W. Michor

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90045-4

zbMATH Keywords

coproductnuclear\(C^{\infty }\)-modulesbornological tensor productC\({}^{\infty }\)-algebralocally-m-convex topology

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (2)

Differential algebras in codifferential categories ⋮ SUPERBOSONIZATION VIA RIESZ SUPERDISTRIBUTIONS

Cites Work

• Some remarks on multivariate Chebyshev polynomials
• Rings of smooth functions and their localizations. I
• A smooth version of the Zariski topos
• Die richtigen Räume für Analysis im Unendlich-Dimensionalen
• Differential calculus in locally convex spaces
• The functions operating on multiplier algebras
• A cartesian closed category of smooth mappings
• A class of bornological barrelled spaces which are not ultrabornological
• C ∞ -Schemes
• On Ideals of Differentiable Functions
• Locally multiplicatively-convex topological algebras
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