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HAIT Journal of Science and Engineering C Volume 4, Issues 1-2, pp. 203-220 © 2007 Holon Institute of Technology |
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Convergences almost everywhere and locally almost everywhere in *-algebras of locally measurable operatorsMustafa A. Muratov |
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Mathematics and Computer Science Department, V.I. Vernadsky Tavrida National University pr. Vernadskogo 4, Simferopol' 95007, Crimea, Ukraine email: mustafa_muratov@mail.ru Received 20 December 2005, accepted 31 July 2006 |
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In this paper, we consider *-algebras LS(M) of locally measurable operators affiliated to a von Neumann algebra M, and study different kinds of convergences in this algebras, the convergence almost everywhere and the convergence locally almost everywhere. We also study a relationship between these two convergences.
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