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Families of vector measures of uniformly bounded variation |
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| Authors: | Olav Nygaard Märt Põldvere |
| Institution: | (1) Department of Mathematics, Agder University College, Servicebox 422, 4604 Kristiansand, Norway;(2) Institute of Pure Mathematics, University of Tartu, J. Liivi 2, 50409 Tartu, Estonia |
| Abstract: | We characterize families of vector measures of uniformly bounded variation and semivariation in terms of additivity properties. A classical theorem of Rickart and a simplified proof of Nikodym’s boundedness theorem follow. Received: 3 January 2006; Revised: 31 March 2006 The second named author was supported by Estonian Science Foundation Grant 5704. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 46G10 Secondary 28B05 |
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