Multiplicative functionals on algebras of differentiable functions
type: Item
instance of: scholarly article
title: Multiplicative functionals on algebras of differentiable functions
zbMATH Open document ID: 0726.46016
DOI: 10.1007/BF01189929
published in: Archiv der Mathematik
publication date: 1992-01-01T00:00:00Z
review text: For a class of Banach spaces E including separable spaces and realcompact super-reflexive spaces, it is shown in this note that every nonzero scalar homomorphism on the algebra \(C^ m(\Omega)\) of all \(C^ m\)- functions defined on an open subset \(\Omega\) of E is given by evaluation at some point of \(\Omega\).
Mathematics Subject Classification ID: 46E25
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 4198806
zbMATH Keywords: multiplicative functionals on algebras of differentiable functions
zbMATH Keywords: realcompact super-reflexive spaces
zbMATH Keywords: evaluation
author: Jesús A. Jaramillo
MaRDI profile type: Publication
cites work: A Real Valued Homomorphism on Algebras of Differentiable Functions
cites work: Q5519417
cites work: Banach spaces which can be given an equivalent uniformly convex norm
cites work: Q3270120
cites work: Q3811175
cites work: Q3209640
cites work: Uniformly smooth partitions of unity on superreflexive Banach spaces
cites work: Locally multiplicatively-convex topological algebras
cites work: Geometry and nonlinear analysis in Banach spaces
full work available at URL: https://doi.org/10.1007/bf01189929
OpenAlex ID: W172795714
description: scientific article; zbMATH DE number 4198806