Abstract
Let X be a compact Hausdorff space. A kernel function on X×X, enjoying additional properties, naturally defines a semi-inner product structure on certain subspaces of all finite signed Borel measures on X. This paper discusses the question of completeness of such spaces.
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Wolf, R. On the completeness of certain kernel-defined semi-inner product spaces. Ark Mat 48, 395–403 (2010). https://doi.org/10.1007/s11512-009-0113-5
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DOI: https://doi.org/10.1007/s11512-009-0113-5