In this paper we obtain a generalization of the well known Riesz Representation Theorem to the case where the underlying space X is an infinite dimensional product of locally compact, regular and σ-compact topological spaces. In the process we prove that our measures on X correspond to projective limit measures of projective systems of regular Borel measures on the coordinate spaces.
An example is given to show that σ-compactness of the coordinate spaces is necessary. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/36263 |
| Date | January 1968 |
| Creators | Harpain, Franz Peter Edward |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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