## Characters on algebras of vector-valued continuous functions.(English)Zbl 1144.46046

Summary: Let $$A$$ be a topological algebra with continuous multiplication, $$X$$ a completely regular Hausdorff space and $$C(X,A)$$ the algebra of all $$A$$-valued continuous functions on $$X$$. We describe the characters on subalgebras of $$C(X,A)$$ by means of those of $$A$$ and evaluations at points of the Stone-Čech compactification of $$X$$.

### MSC:

 46J10 Banach algebras of continuous functions, function algebras 46E40 Spaces of vector- and operator-valued functions
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### References:

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