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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 3, Pages 599–619
DOI: https://doi.org/10.1070/IM1975v009n03ABEH001492
(Mi im2044)
 

This article is cited in 4 scientific papers (total in 4 papers)

Spectral properties of modular operators and the asymptotic ratio set

V. Ya. Golodets
References:
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.
Received: 14.01.1974
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1975, Volume 39, Issue 3, Pages 635–656
Bibliographic databases:
UDC: 513.88
MSC: 46L10
Language: English
Original paper language: Russian
Citation: V. Ya. Golodets, “Spectral properties of modular operators and the asymptotic ratio set”, Izv. Akad. Nauk SSSR Ser. Mat., 39:3 (1975), 635–656; Math. USSR-Izv., 9:3 (1975), 599–619
Citation in format AMSBIB
\Bibitem{Gol75}
\by V.~Ya.~Golodets
\paper Spectral properties of modular operators and the asymptotic ratio set
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1975
\vol 39
\issue 3
\pages 635--656
\mathnet{http://mi.mathnet.ru/im2044}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=380437}
\zmath{https://zbmath.org/?q=an:0312.46079}
\transl
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 3
\pages 599--619
\crossref{https://doi.org/10.1070/IM1975v009n03ABEH001492}
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  • https://doi.org/10.1070/IM1975v009n03ABEH001492
  • https://www.mathnet.ru/eng/im/v39/i3/p635
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:249
    Russian version PDF:98
    English version PDF:6
    References:60
    First page:1
     
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