Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 1, Pages 81–84
DOI: https://doi.org/10.4213/faa2919 (Mi faa2919) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Brief communications

On the Similarity of a $J$-Nonnegative Sturm–Liouville Operator to a Self-Adjoint Operator

I. M. Karabash, A. S. Kostenko

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences, Donetsk
Full-text PDF (129 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa2919
Abstract: In terms of Weyl–Titchmarsh $m$-functions, we obtain a new necessary condition for an indefinite Sturm–Liouville operator to be similar to a self-adjoint operator. This condition is used to construct examples of $J$-nonnegative Sturm–Liouville operators with singular critical point zero.
Keywords: $J$-nonnegative operator, critical point, similarity to a self-adjoint operator.
Received: 23.03.2007
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 1, Pages 65–68
DOI: https://doi.org/10.1007/s10688-009-0007-0
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: I. M. Karabash, A. S. Kostenko, “On the Similarity of a $J$-Nonnegative Sturm–Liouville Operator to a Self-Adjoint Operator”, Funktsional. Anal. i Prilozhen., 43:1 (2009), 81–84; Funct. Anal. Appl., 43:1 (2009), 65–68
Citation in format AMSBIB
\Bibitem{KarKos09}
\by I.~M.~Karabash, A.~S.~Kostenko
\paper On the Similarity of a $J$-Nonnegative Sturm--Liouville Operator to a Self-Adjoint Operator
\jour Funktsional. Anal. i Prilozhen.
\yr 2009
\vol 43
\issue 1
\pages 81--84
\mathnet{http://mi.mathnet.ru/faa2919}
\crossref{https://doi.org/10.4213/faa2919}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2503867}
\zmath{https://zbmath.org/?q=an:1271.47040}
\transl
\jour Funct. Anal. Appl.
\yr 2009
\vol 43
\issue 1
\pages 65--68
\crossref{https://doi.org/10.1007/s10688-009-0007-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000264264100007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-62749193802}
Linking options:
  • https://www.mathnet.ru/eng/faa2919
  • https://doi.org/10.4213/faa2919
  • https://www.mathnet.ru/eng/faa/v43/i1/p81
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:573
    Full-text PDF :235
    References:67
    First page:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024