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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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