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October 2010 On the completeness of certain kernel-defined semi-inner product spaces
Reinhard Wolf
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Ark. Mat. 48(2): 395-403 (October 2010). DOI: 10.1007/s11512-009-0113-5

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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Reinhard Wolf. "On the completeness of certain kernel-defined semi-inner product spaces." Ark. Mat. 48 (2) 395 - 403, October 2010. https://doi.org/10.1007/s11512-009-0113-5

Information

Received: 29 January 2009; Published: October 2010
First available in Project Euclid: 31 January 2017

zbMATH: 1208.46023
MathSciNet: MR2672617
Digital Object Identifier: 10.1007/s11512-009-0113-5

Rights: 2009 © Institut Mittag-Leffler

Vol.48 • No. 2 • October 2010
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