Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 10, Pages 18–30 (Mi ivm7136)  
This article is cited in 2 scientific papers (total in 2 papers)

Noncommutative integration for traces with values in Kantorovich–Pinsker spaces

B. S. Zakirova, V. I. Chilinb

a Chair of Higher Mathematics, Tashkent Railway Engineering Institute, Tashkent, Republic of Uzbekistan
b Chair of Algebra and Function Analysis, National University of Uzbekistan, Tashkent, Republic of Uzbekistan
Full-text PDF (272 kB) Citations (2)
References:
PDF
HTML
Abstract: In this paper we consider traces on von Neumann algebras with values in complex Kantorovich–Pinsker spaces. We establish the connection between the convergence with respect to the trace and the convergence locally in measure in the algebra $S(M)$ of measurable operators affiliated with $M$. We define the $(bo)$-complete lattice-normed spaces of integrable operators in $S(M)$ and prove that they are decomposable if the trace possesses the Maharam property.
Keywords: von Neumann algebra, measurable operator, convergence locally in measure, vector-valued trace, Banach–Kantorovich space.
Received: 21.01.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 10, Pages 15–26
DOI: https://doi.org/10.3103/S1066369X10100026
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: B. S. Zakirov, V. I. Chilin, “Noncommutative integration for traces with values in Kantorovich–Pinsker spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 10, 18–30; Russian Math. (Iz. VUZ), 54:10 (2010), 15–26
Citation in format AMSBIB
\Bibitem{ZakChi10}
\by B.~S.~Zakirov, V.~I.~Chilin
\paper Noncommutative integration for traces with values in Kantorovich--Pinsker spaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 10
\pages 18--30
\mathnet{http://mi.mathnet.ru/ivm7136}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2808738}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 10
\pages 15--26
\crossref{https://doi.org/10.3103/S1066369X10100026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649585311}
Linking options:
  • https://www.mathnet.ru/eng/ivm7136
  • https://www.mathnet.ru/eng/ivm/y2010/i10/p18
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:301
    Full-text PDF :72
    References:33
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024