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ArticleOriginal scientific text

Title

On the ideal structure of algebras of LMC-algebra valued functions

Authors 1

Affiliations

  1. Department of Mathematics, University of Oulu, Sf-90570 Oulu, Finland

Abstract

Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.

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Studia Mathematica
1991-1992/101/3
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Pages:
311-318
Main language of publication
English
Received
1991-05-14
Accepted
1991-09-27
Published
1992
Exact and natural sciences