This article is cited in 4 papers

Spectral properties of modular operators and the asymptotic ratio set

V. Ya. Golodets


Abstract: In the paper we study the asymptotic ratio set (an invariant for von Neumann algebras introduced by H. Araki and E. J. Woods) with the aid of spectral properties of modular operators of the von Neumann algebra. We give an equivalent description of this set in terms of modular operators and indicate a constructive method for its evaluation.
Bibliography: 19 items.

UDC: 513.88

MSC: 46L10

Received: 14.01.1974

 English version: Mathematics of the USSR-Izvestiya, 1975, 9:3, 599–619

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