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Matematicheskie Zametki, 1971, Volume 9, Issue 4, Pages 401–408 (Mi mzm7022)  
This article is cited in 1 scientific paper (total in 1 paper)

Discreteness of the spectrum and completeness of systems of characteristic and associated vectors of second-order nonself-adjoint differential operators

I. I. Golichev

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (484 kB) Citations (1)
Abstract: Conditions are found under which $A^1\in\sigma_p$ ($A$ is a nonself-adjoint operator). For differential operators in $L_2(-\infty, \infty)$ with real coefficients, conditions are found for the existence of a regular point, necessary and sufficient and also sufficient conditions are found for the spectrum to be discrete, and conditions are found for the system of characteristic and associated vectors to be complete.
Received: 17.02.1970
English version:
Mathematical Notes, 1971, Volume 9, Issue 4, Pages 230–234
DOI: https://doi.org/10.1007/BF01387770
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: I. I. Golichev, “Discreteness of the spectrum and completeness of systems of characteristic and associated vectors of second-order nonself-adjoint differential operators”, Mat. Zametki, 9:4 (1971), 401–408; Math. Notes, 9:4 (1971), 230–234
Citation in format AMSBIB
\Bibitem{Gol71}
\by I.~I.~Golichev
\paper Discreteness of the spectrum and completeness of systems of characteristic and associated vectors of second-order nonself-adjoint differential operators
\jour Mat. Zametki
\yr 1971
\vol 9
\issue 4
\pages 401--408
\mathnet{http://mi.mathnet.ru/mzm7022}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=284862}
\zmath{https://zbmath.org/?q=an:0226.47022|0216.16402}
\transl
\jour Math. Notes
\yr 1971
\vol 9
\issue 4
\pages 230--234
\crossref{https://doi.org/10.1007/BF01387770}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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