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Locally measurable operators for $JW$-algebras and the representation of ordered Jordan algebras

Sh. A. Ayupov


Abstract: The concept of local measurability is introduced for a selfadjoint operator with respect to a $JW$-algebra, and a theorem is proved on realization of ordered Jordan algebras of operators.
Bibliography: 33 titles.

UDC: 517.98

MSC: Primary 06F25, 17C10, 17C15, 46L50; Secondary 17C25, 17C40, 17C65, 46L10

Received: 19.04.1982

 English version: Mathematics of the USSR-Izvestiya, 1985, 24:2, 199–220

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