Differential Fréchet \(^*\)-algebras and characterization of smooth functions on \(\mathbb{R}\)
type: Item
instance of: scholarly article
title: Differential Fréchet \(^*\)-algebras and characterization of smooth functions on \(\mathbb{R}\)
zbMATH Open document ID: 1269.46031
DOI: 10.1216/RMJ-2012-42-6-1777
author: Fatima M. Azmi
published in: Rocky Mountain Journal of Mathematics
publication date: 2013-04-09T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmjm/1361800605
review text: 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.
Mathematics Subject Classification ID: 46J15
Mathematics Subject Classification ID: 47L40
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 46E25
zbMATH DE Number: 6152185
zbMATH Keywords: differential Fréchet \(^*\)-algebra
zbMATH Keywords: inverse limits
zbMATH Keywords: Gelfand-Naimark theorem
reviewed by: Mart Abel
MaRDI profile type: Publication
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OpenAlex ID: W2047193341
description: scientific article; zbMATH DE number 6152185