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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1999 Volume 190, Number 10, Pages 105–122 (Mi sm436)

This article is cited in 4 papers

Operator-valued weights on real $W^*$-algebras and reversible $JW$-algebras

Sh. M. Usmanov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan

Abstract: Operator-valued weights on real $W^*$-algebras and on $JW$-algebras are studied. A criterion is obtained for the existence of an operator-valued weight on a real $W^*$-algebra or a reversible $JW$-algebra.

UDC: 517.986

MSC: Primary 46L70; Secondary 46K70

Received: 23.07.1998 and 05.04.1999

DOI: 10.4213/sm436


 English version:
Sbornik: Mathematics, 1999, 190:10, 1505–1522

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