Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 2, Pages 339–349
DOI: https://doi.org/10.1070/IM1976v010n02ABEH001693 (Mi im2113) 		 
This article is cited in 2 scientific papers (total in 3 papers)

The direct integral of pairs of dual spaces

M. A. Naimark
English version PDF (502 kB) Citations (3) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1976v010n02ABEH001693
Abstract: For a family of pairs of vector spaces which are in duality, given on a measure space, we introduce the concept of the direct integral, which is also a pair of vector spaces in duality; and we investigate its properties. We prove that the von Neumann direct integral of Hilbert spaces is a particular case of the direct integral defined here.
Bibliography: 9 titles.
Received: 06.11.1973
Bibliographic databases:
UDC: 513.88+517.397
MSC: Primary 46A20, 46G99; Secondary 46B10, 46C10
Language: English
Original paper language: Russian
Citation: M. A. Naimark, “The direct integral of pairs of dual spaces”, Math. USSR-Izv., 10:2 (1976), 339–349
Citation in format AMSBIB
\Bibitem{Nai76}
\by M.~A.~Naimark
\paper The direct integral of pairs of dual spaces
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 2
\pages 339--349
\mathnet{http://mi.mathnet.ru//eng/im2113}
\crossref{https://doi.org/10.1070/IM1976v010n02ABEH001693}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=410318}
\zmath{https://zbmath.org/?q=an:0365.46007}
Linking options:
  • https://www.mathnet.ru/eng/im2113
  • https://doi.org/10.1070/IM1976v010n02ABEH001693
  • https://www.mathnet.ru/eng/im/v40/i2/p355
    • This publication is cited in the following 3 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024