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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)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1976, Volume 40, Issue 2, Pages 355–365
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”, Izv. Akad. Nauk SSSR Ser. Mat., 40:2 (1976), 355–365; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1976
\vol 40
\issue 2
\pages 355--365
\mathnet{http://mi.mathnet.ru/im2113}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=410318}
\zmath{https://zbmath.org/?q=an:0365.46007}
\transl
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 2
\pages 339--349
\crossref{https://doi.org/10.1070/IM1976v010n02ABEH001693}
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    • 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
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    Abstract page:397
    Russian version PDF:152
    English version PDF:15
    References:53
    First page:1
     
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