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Multiplicative Functionals on Algebras of Differentiable Functions

Jaramillo Aguado, Jesús Ángel (1992) Multiplicative Functionals on Algebras of Differentiable Functions. Archiv der Mathematik, 58 (4). pp. 384-387. ISSN 0003-889X

Official URL: http://www.springerlink.com/content/j0032444252q7321/

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Abstract

For a class of Banach spaces E including separable spaces and realcompact superreflexive spaces, it is shown in this note that every nonzero scalar homomorphism on the algebra Cm() of all Cm- functions defined on an open subset of E is given by evaluation at some point of .


Item Type:Article
Uncontrolled Keywords:Multiplicative functionals on algebras of differentiable functions; realcompact super-reflexive spaces; evaluation
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:16852
Deposited On:24 Oct 2012 08:25
Last Modified:24 Oct 2012 08:25

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