M. A. Muratov, V. I. Chilin, “<nobr>$*$</nobr>-algebras of unbounded operators affiliated with a von Neumann algebra”, Zap. Nauchn. Sem. POMI, 2005, Volume 326,Pages <nobr>183

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$*$-algebras of unbounded operators affiliated with a von Neumann algebra

M. A. Muratov^a, V. I. Chilin^b

^a Vernadskiy Tavricheskiy National University
^b National University of Uzbekistan named after M. Ulugbek

Abstract: In the paper, the $*$-algebras of measurable operators, locally measurable operators, and $\tau$-measurable operators associated with von Neumann algebra $M$ are considered. Conditions under which some of these algebras coincide are given.

UDC: 517.98

Received: 15.04.2005