Homomorphisms on some function algebras

Peter Biström; Sten Bjon; Mikael Lindström

doi:10.1007/BF01332348

Homomorphisms on some function algebras

Peter Biström, Sten Bjon, Mikael Lindström

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

6 Citations (Scopus)

Abstract

In this note we prove, for some classes of real locally convex spaces E including all complete Schwartz spaces, that every non-zero homomorphism on the algebra C∞ (E) of C∞-functions on E is given by a point evaluation at some point of E. © 1991 Springer-Verlag.

Original language	Swedish
Pages (from-to)	93-97
Number of pages	5
Journal	Monatshefte für Mathematik
Volume	111
Issue number	2
DOIs	https://doi.org/10.1007/BF01332348
Publication status	Published - Jun 1991
MoE publication type	A1 Journal article-refereed

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10.1007/BF01332348

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title = "Homomorphisms on some function algebras",

abstract = "In this note we prove, for some classes of real locally convex spaces E including all complete Schwartz spaces, that every non-zero homomorphism on the algebra C∞ (E) of C∞-functions on E is given by a point evaluation at some point of E. {\textcopyright} 1991 Springer-Verlag.",

author = "Peter Bistr{\"o}m and Sten Bjon and Mikael Lindstr{\"o}m",

year = "1991",

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AU - Bjon, Sten

AU - Lindström, Mikael

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AB - In this note we prove, for some classes of real locally convex spaces E including all complete Schwartz spaces, that every non-zero homomorphism on the algebra C∞ (E) of C∞-functions on E is given by a point evaluation at some point of E. © 1991 Springer-Verlag.

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JO - Monatshefte für Mathematik

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Homomorphisms on some function algebras

Abstract

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