## Representation of locally convex algebras.(English)Zbl 0820.46047

Summary: We deal with the representation of locally convex algebras. On one hand as “subalgebras” of some weighted space $$CV(X)$$ and on the other hand, in the case of uniformly $$A$$-convex algebras, as inductive limits of Banach algebras. We also study some questions on the spectrum of a locally convex algebra.

### MSC:

 46H15 Representations of topological algebras 46E25 Rings and algebras of continuous, differentiable or analytic functions 46H05 General theory of topological algebras 46H20 Structure, classification of topological algebras
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