Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2003, Volume 74, Issue 4, Pages 590–602
DOI: https://doi.org/10.4213/mzm293 (Mi mzm293) 		 
This article is cited in 37 scientific papers (total in 37 papers)

Typical Changes in Spectral Properties under Perturbations by a Rank-One Operator

S. V. Savchenko

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (229 kB) Citations (37)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm293
Abstract: We show that under perturbations by a rank-one typical operator, a fixed eigenvalue loses one Jordan block of maximal order, while the orders of the other Jordan blocks remain unchanged. We construct the first-order perturbation theory for the new eigenvalues and the zero-order approximations to the corresponding eigenvectors.
Received: 07.08.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 4, Pages 557–568
DOI: https://doi.org/10.1023/A:1026104129373
Bibliographic databases:
UDC: 512.643+517.983
Language: Russian
Citation: S. V. Savchenko, “Typical Changes in Spectral Properties under Perturbations by a Rank-One Operator”, Mat. Zametki, 74:4 (2003), 590–602; Math. Notes, 74:4 (2003), 557–568
Citation in format AMSBIB
\Bibitem{Sav03}
\by S.~V.~Savchenko
\paper Typical Changes in Spectral Properties under Perturbations by a Rank-One Operator
\jour Mat. Zametki
\yr 2003
\vol 74
\issue 4
\pages 590--602
\mathnet{http://mi.mathnet.ru/mzm293}
\crossref{https://doi.org/10.4213/mzm293}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2042972}
\zmath{https://zbmath.org/?q=an:1073.47021}
\elib{https://elibrary.ru/item.asp?id=13416967}
\transl
\jour Math. Notes
\yr 2003
\vol 74
\issue 4
\pages 557--568
\crossref{https://doi.org/10.1023/A:1026104129373}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000186455400030}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0346494622}
Linking options:
  • https://www.mathnet.ru/eng/mzm293
  • https://doi.org/10.4213/mzm293
  • https://www.mathnet.ru/eng/mzm/v74/i4/p590
    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025