Yamilet Quintana, "On Hilbert extensions of Weierstrass' theorem with weights", Journal of Function Spaces, vol. 8, Article ID 645369, 13 pages, 2010. https://doi.org/10.1155/2010/645369
On Hilbert extensions of Weierstrass' theorem with weights
In this paper we study the set of ℊ-valued functions which can be approximated by ℊ-valued continuous functions in the norm , where is a compact interval, ℊ is a separable real Hilbert space and w is a certain ℊ-valued weakly measurable weight. Thus, we obtain a new extension of the celebrated Weierstrass approximation theorem.
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