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Annali di Matematica Pura ed Applicata (1923 -)

, Volume 116, Issue 1, pp 151–158 | Cite as

Homomorphisms of weighted algebras of continuous functions

  • W. Govaerts
Article

Summary

A characterization is given of all continuous algebra homomorphisms H from the weighted space of continuous functions CV(X, E) into ℂ, where X is a completely regular Hausdorff space, E a locally convex algebra and V a family of weight functions that vanish at infinity. These homomorphisms are represented in the form H(f) = h(f(x)) with x in X and h a continuous algebra homomorphism on E. We then consider the space of homomorphisms of CV(X, E) and give some counterexamples to possible further generalizations.

Keywords

Continuous Function Weight Function Weighted Space Hausdorff Space Algebra Homomorphism 

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata (1923 -) 1978

Authors and Affiliations

  • W. Govaerts
    • 1
  1. 1.GentBelgium

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