Geodesic
On approximation in weighted spaces of continuous vector-valued functions
Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 65-68

Voir la notice de l'article provenant de la source Cambridge University Press

The fundamental work on approximation in weighted spaces of continuous functions on a completely regular space has been done mainly by Nachbin ([5], [6]). Further investigations have been made by Summers [10], Prolla ([7], [8]), and other authors (see the monograph [8] for more references). These authors considered functions with range contained in the scalar field or a locally convex topological vector space. In the present paper we prove some approximation results without local convexity of the range space. 
Khan, Liaqat Ali. On approximation in weighted spaces of continuous vector-valued functions. Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 65-68. doi: 10.1017/S0017089500006662
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