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Weighted Algebras of Vector‐Valued Continuous Functions |
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| Authors: | L. Oubbi |
| Abstract: | In this paper we present a systematic study of the algebras CV (X, E) and CV0(X, E) of continuous functions with weight conditions given by a Nachbin family V and with values in a locally convex algebra E. Some relevant examples (and counterexamples to some assertions in the literature) are provided. |
| Keywords: | Weighted algebras locally A‐convex algebras locally m‐convex algebras bounded sets |