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Matematicheskie Zametki, 1974, Volume 15, Issue 1, Pages 149–158 (Mi mzm7329)  

This article is cited in 3 scientific papers (total in 3 papers)

Structure of the point spectrum of a linear operator

L. N. Nikol'skaya

Leningrad Polytechnical Institute
Abstract: In order that a set of complex numbers be the point spectrum of some linear operator in a separable Hilbert space it is necessary and sufficient that it be a set of type $F_\sigma$.
Received: 26.06.1972
English version:
Mathematical Notes, 1974, Volume 15, Issue 1, Pages 83–87
DOI: https://doi.org/10.1007/BF01153551
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: L. N. Nikol'skaya, “Structure of the point spectrum of a linear operator”, Mat. Zametki, 15:1 (1974), 149–158; Math. Notes, 15:1 (1974), 83–87
Citation in format AMSBIB
\Bibitem{Nik74}
\by L.~N.~Nikol'skaya
\paper Structure of the point spectrum of a~linear operator
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 1
\pages 149--158
\mathnet{http://mi.mathnet.ru/mzm7329}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=346554}
\zmath{https://zbmath.org/?q=an:0316.47002}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 1
\pages 83--87
\crossref{https://doi.org/10.1007/BF01153551}
Linking options:
  • https://www.mathnet.ru/eng/mzm7329
  • https://www.mathnet.ru/eng/mzm/v15/i1/p149
  • 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
    Математические заметки Mathematical Notes
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    Full-text PDF :432
    References:4
    First page:1
     
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