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, 2001, Volume 70, Issue 4, Pages 544–552
DOI: https://doi.org/10.4213/mzm766 (Mi mzm766) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On a Class of Operator Equations

B. D. Gel'man

Voronezh State University
Full-text PDF (207 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm766
Abstract: We assume that $E_1$ and $E_2$ are Banach spaces, $a\colon E_1\to E_2$ is a continuous linear surjective operator, $f\colon E_1\to E_2$ is a nonlinear completely continuous operator. In this paper, we study existence problems for the equation $a(x)=f(x)$ and estimate the topological dimension $dim$ of the set of solutions.
Received: 03.04.2000
Revised: 19.10.2000
English version:
Mathematical Notes, 2001, Volume 70, Issue 4, Pages 494–501
DOI: https://doi.org/10.1023/A:1012376602648
Bibliographic databases:
UDC: 517.988.6
Language: Russian
Citation: B. D. Gel'man, “On a Class of Operator Equations”, Mat. Zametki, 70:4 (2001), 544–552; Math. Notes, 70:4 (2001), 494–501
Citation in format AMSBIB
\Bibitem{Gel01}
\by B.~D.~Gel'man
\paper On a Class of Operator Equations
\jour Mat. Zametki
\yr 2001
\vol 70
\issue 4
\pages 544--552
\mathnet{http://mi.mathnet.ru/mzm766}
\crossref{https://doi.org/10.4213/mzm766}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1884191}
\zmath{https://zbmath.org/?q=an:1035.47045}
\elib{https://elibrary.ru/item.asp?id=13364605}
\transl
\jour Math. Notes
\yr 2001
\vol 70
\issue 4
\pages 494--501
\crossref{https://doi.org/10.1023/A:1012376602648}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172164200022}
Linking options:
  • https://www.mathnet.ru/eng/mzm766
  • https://doi.org/10.4213/mzm766
  • https://www.mathnet.ru/eng/mzm/v70/i4/p544
    • This publication is cited in the following 7 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