RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 4, Pages 35–45 (Mi ivm8988)  

Description of orthogonal vector fields over $W^*$-algebra of type $I_2$

G. D. Lugovaya, A. N. Sherstnev

Chair of Mathematical Analysis, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: In the paper we give a characterization of a $w^*$-continuous orthogonal vector field $F$ over a $W^*$-algebra of type $I_2$ in terms of reductions of $F$ on the center of the algebra. As an application we obtain a new proof of the assertion that an arbitrary $w^*$-continuous orthogonal vector field over a $W^*$-algebra of type $I_2$ is stationary.

Keywords: $W^*$-algebra, orthogonal vector field.

Full text: PDF file (226 kB)
References: PDF file   HTML file

English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:4, 28–37

UDC: 517.986
Received: 03.10.2013

Citation: G. D. Lugovaya, A. N. Sherstnev, “Description of orthogonal vector fields over $W^*$-algebra of type $I_2$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 4, 35–45; Russian Math. (Iz. VUZ), 59:4 (2015), 28–37

Citation in format AMSBIB
\Bibitem{LugShe15}
\by G.~D.~Lugovaya, A.~N.~Sherstnev
\paper Description of orthogonal vector fields over $W^*$-algebra of type~$I_2$
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 4
\pages 35--45
\mathnet{http://mi.mathnet.ru/ivm8988}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 4
\pages 28--37
\crossref{https://doi.org/10.3103/S1066369X15040040}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925705728}


Linking options:
  • http://mi.mathnet.ru/eng/ivm8988
  • http://mi.mathnet.ru/eng/ivm/y2015/i4/p35

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Number of views:
    This page:86
    Full text:17
    References:22
    First page:5

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020