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Mathematics of the USSR-Sbornik, 1971, Volume 13, Issue 4, Pages 569–576
DOI: https://doi.org/10.1070/SM1971v013n04ABEH003699 (Mi sm3166) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Complete commutative symmetric operator algebras in the Pontryagin space $\Pi_1$

A. I. Loginov
English version PDF (490 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM1971v013n04ABEH003699
Abstract: This paper describes, up to unitary equivalence, all (with the exception of simple cases considered previously) commutative subalgebras of all bounded operators on the Pontryagin space $\Pi_1$ which are closed in the uniform topology and contain along with each operator also its conjugate with respect to an indefinite scalar product.
Bibliography: 6 titles.
Received: 07.05.1970
Bibliographic databases:
UDC: 519.56
MSC: Primary 46L99; Secondary 46D05, 46E99
Language: English
Original paper language: Russian
Citation: A. I. Loginov, “Complete commutative symmetric operator algebras in the Pontryagin space $\Pi_1$”, Math. USSR-Sb., 13:4 (1971), 569–576
Citation in format AMSBIB
\Bibitem{Log71}
\by A.~I.~Loginov
\paper Complete commutative symmetric operator algebras in the Pontryagin space~$\Pi_1$
\jour Math. USSR-Sb.
\yr 1971
\vol 13
\issue 4
\pages 569--576
\mathnet{http://mi.mathnet.ru//eng/sm3166}
\crossref{https://doi.org/10.1070/SM1971v013n04ABEH003699}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=281017}
\zmath{https://zbmath.org/?q=an:0231.46104}
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  • https://doi.org/10.1070/SM1971v013n04ABEH003699
  • https://www.mathnet.ru/eng/sm/v126/i4/p575
    • 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
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
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