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

Differential Fréchet \(^*\)-algebras and characterization of smooth functions on \(\mathbb{R}\) (Q1945722)

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scientific article; zbMATH DE number 6152185
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English
Differential Fréchet \(^*\)-algebras and characterization of smooth functions on \(\mathbb{R}\)
scientific article; zbMATH DE number 6152185

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    Differential Fréchet \(^*\)-algebras and characterization of smooth functions on \(\mathbb{R}\) (English)
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    9 April 2013
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    The paper deals with differential Fréchet \(^*\)-algebras. The main result states which differential Fréchet \(^*\)-algebras are homeomorphic to the algebra \(C^ \infty(\mathbb R)\) of smooth functions on the real line.
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    differential Fréchet \(^*\)-algebra
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    inverse limits
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    Gelfand-Naimark theorem
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