Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1985, Volume 27, Pages 167–190 (Mi intd89)  

This article is cited in 11 scientific papers (total in 11 papers)

Introduction to the theory of noncommutative integration

N. V. Trunov, A. N. Sherstnev
Abstract: We present a survey of the contemporary state of the theory of integration in von Neumann and JBW algebras.
English version:
Journal of Soviet Mathematics, 1987, Volume 37, Issue 6, Pages 1504–1523
DOI: https://doi.org/10.1007/BF01103856
Bibliographic databases:
UDC: 517.986; 517.987
Language: Russian
Citation: N. V. Trunov, A. N. Sherstnev, “Introduction to the theory of noncommutative integration”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 27, VINITI, Moscow, 1985, 167–190; J. Soviet Math., 37:6 (1987), 1504–1523
Citation in format AMSBIB
\Bibitem{TruShe85}
\by N.~V.~Trunov, A.~N.~Sherstnev
\paper Introduction to the theory of noncommutative integration
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1985
\vol 27
\pages 167--190
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd89}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=824264}
\zmath{https://zbmath.org/?q=an:0616.46058}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 37
\issue 6
\pages 1504--1523
\crossref{https://doi.org/10.1007/BF01103856}
Linking options:
  • https://www.mathnet.ru/eng/intd89
  • https://www.mathnet.ru/eng/intd/v27/p167
  • This publication is cited in the following 11 articles:
    1. Andrej Novikov, “L1 L 1 -space for a positive operator affiliated with von Neumann algebra”, Positivity, 21:1 (2017), 359  crossref
    2. An. An. Novikov, O. E. Tikhonov, “Measures on orthoideals and L 1-spaces associated with positive operators”, Lobachevskii J Math, 37:4 (2016), 497  crossref
    3. L. V. Veselova, O. E. Tikhonov, “Obobschenie teorem Kreina–Shmulyana i Lozanovskogo na sluchai metrizuemykh prostranstv s konusom”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 152, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2010, 126–131  mathnet  mathscinet
    4. SH. A. AYUPOV, K. K. KUDAYBERGENOV, “DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS”, Infin. Dimens. Anal. Quantum. Probab. Relat. Top., 13:02 (2010), 305  crossref
    5. L. V. Veselova, F. A. Sukochev, O. E. Tikhonov, “Interpolation of Positive Operators”, Math. Notes, 81:1 (2007), 37–50  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    6. S. Albeverio, Sh.A. Ayupov, K.K. Kudaybergenov, “Non-commutative Arens algebras and their derivations”, Journal of Functional Analysis, 253:1 (2007), 287  crossref
    7. A. M. Bikchentaev, “Minimality of Convergence in Measure Topologies on Finite von Neumann Algebras”, Math. Notes, 75:3 (2004), 315–321  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. A. I. Stolyarov, O. E. Tikhonov, A. N. Sherstnev, “Characterization of Normal Traces on Von Neumann Algebras by Inequalities for the Modulus”, Math. Notes, 72:3 (2002), 411–416  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. Sh. M. Usmanov, “Conditional expectations on real W-algebras and JW-algebras”, Russian Math. (Iz. VUZ), 45:7 (2001), 41–45  mathnet  mathscinet  zmath
    10. Sh. M. Usmanov, “Operator-valued weights on real W-algebras and reversible JW-algebras”, Sb. Math., 190:10 (1999), 1505–1522  mathnet  crossref  crossref  mathscinet  zmath  isi
    11. L. I. Vainerman, “The duality of algebras with involution and generalized shift operators”, J. Soviet Math., 42:6 (1988), 2113–2137  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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