Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2001, Volume 192, Issue 4, Pages 577–591
DOI: https://doi.org/10.1070/sm2001v192n04ABEH000561 (Mi sm561) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Structure of spectra of linear operators in Banach spaces

O. G. Smolyanov, S. A. Shkarin

M. V. Lomonosov Moscow State University
English version PDF (224 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm2001v192n04ABEH000561
Abstract: Descriptive characterizations of the point, the continuous, and the residual spectra of operators in Banach spaces are put forward. In particular, necessary and sufficient conditions for three disjoint subsets of the complex plane to be the point spectrum, the continuous spectrum, and the residual spectrum of a linear continuous operator in a separable Banach space are obtained.
Received: 14.12.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 4, Pages 99–114
DOI: https://doi.org/10.4213/sm561
Bibliographic databases:
UDC: 517.5
MSC: 35P05, 46B99, 47A10
Language: English
Original paper language: Russian
Citation: O. G. Smolyanov, S. A. Shkarin, “Structure of spectra of linear operators in Banach spaces”, Mat. Sb., 192:4 (2001), 99–114; Sb. Math., 192:4 (2001), 577–591
Citation in format AMSBIB
\Bibitem{SmoShk01}
\by O.~G.~Smolyanov, S.~A.~Shkarin
\paper Structure of spectra of linear operators in Banach spaces
\jour Mat. Sb.
\yr 2001
\vol 192
\issue 4
\pages 99--114
\mathnet{http://mi.mathnet.ru/sm561}
\crossref{https://doi.org/10.4213/sm561}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1834094}
\zmath{https://zbmath.org/?q=an:1026.47003}
\transl
\jour Sb. Math.
\yr 2001
\vol 192
\issue 4
\pages 577--591
\crossref{https://doi.org/10.1070/sm2001v192n04ABEH000561}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000169973700013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035648980}
Linking options:
  • https://www.mathnet.ru/eng/sm561
  • https://doi.org/10.1070/sm2001v192n04ABEH000561
  • https://www.mathnet.ru/eng/sm/v192/i4/p99
    • 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 - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:632
    Russian version PDF:286
    English version PDF:38
    References:82
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024