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, 2001, Volume 35, Issue 3, Pages 28–35
DOI: https://doi.org/10.4213/faa256 (Mi faa256) 		 
This article is cited in 12 scientific papers (total in 12 papers)

A Generalized Implicit Function Theorem

B. D. Gel'man

Voronezh State University
Full-text PDF (126 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa256
Abstract: We prove a theorem generalizing the classical implicit function theorem to the case in which the derivative of the map is a surjective continuous linear operator. We do not assume that the kernel of the derivative is a complemented subspace.
Received: 28.06.2000
English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 3, Pages 183–188
DOI: https://doi.org/10.1023/A:1012322727547
Bibliographic databases:
Document Type: Article
UDC: 517.988.6
Language: Russian
Citation: B. D. Gel'man, “A Generalized Implicit Function Theorem”, Funktsional. Anal. i Prilozhen., 35:3 (2001), 28–35; Funct. Anal. Appl., 35:3 (2001), 183–188
Citation in format AMSBIB
\Bibitem{Gel01}
\by B.~D.~Gel'man
\paper A Generalized Implicit Function Theorem
\jour Funktsional. Anal. i Prilozhen.
\yr 2001
\vol 35
\issue 3
\pages 28--35
\mathnet{http://mi.mathnet.ru/faa256}
\crossref{https://doi.org/10.4213/faa256}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1864986}
\zmath{https://zbmath.org/?q=an:0997.49021}
\transl
\jour Funct. Anal. Appl.
\yr 2001
\vol 35
\issue 3
\pages 183--188
\crossref{https://doi.org/10.1023/A:1012322727547}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172598500003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0041883564}
Linking options:
  • https://www.mathnet.ru/eng/faa256
  • https://doi.org/10.4213/faa256
  • https://www.mathnet.ru/eng/faa/v35/i3/p28
    • This publication is cited in the following 12 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:1008
    Full-text PDF :632
    References:70
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024