A. Appert proved in [2] that every sequence of strong measures on a separable weakly locally compact metrizable space has a subsequence converging in the sense of Δ to a strong measure. We extend this result to a second countable locally compact regular space. A. Appert also proved that on a weakly locally compact metrizable space, a sequence of strong measures converges in the sense of Δ to a strong measure if it converges in the sense of Δ₁to that strong measure. In [3], D. J. H. Garling extended this result to a sequence of monotone set functions on a weakly locally compact Hausdorff space under certain conditions. We show that this result still holds on a locally compact regular space with the same conditions. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/35074 |
| Date | January 1969 |
| Creators | Lin, Jung-Fang |
| 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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