This article is cited in 1 paper

Homomorphisms of algebras of locally measurable operators

B. S. Zakirov

Tashkent Temir YO'L Muxandislari Instituti

Abstract: Involutive homomorphisms of $*$-algebras of locally measurable operators affiliated with von Neumann algebra are considered. Connections between properties of completely additivity, normality and continuity of an involutive homomorphism are established.

Key words: von Neumann algebra, locally measurable operator, convergence locally in measure.

UDC: 517.98

Received: 14.05.2009