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, 2004, Volume 38, Issue 4, Pages 1–5
DOI: https://doi.org/10.4213/faa121 (Mi faa121) 		 
This article is cited in 12 scientific papers (total in 12 papers)

An Infinite-Dimensional Version of the Borsuk–Ulam Theorem

B. D. Gel'man

Voronezh State University
Full-text PDF (134 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa121
Abstract: We study the solvability of the equation $a(x)=f(x)$ on a sphere in a Banach space, where $a$ is a closed surjective linear operator and $f$ is an odd $a$-compact map. We also estimate the topological dimension of the solution set and give applications of the corresponding theorem to some problems in differential equations and other fields of mathematics.
Keywords: closed surjective operator, compact map, operator equation.
Received: 13.02.2003
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 4, Pages 239–242
DOI: https://doi.org/10.1007/s10688-005-0001-0
Bibliographic databases:
Document Type: Article
UDC: 517.988.6
Language: Russian
Citation: B. D. Gel'man, “An Infinite-Dimensional Version of the Borsuk–Ulam Theorem”, Funktsional. Anal. i Prilozhen., 38:4 (2004), 1–5; Funct. Anal. Appl., 38:4 (2004), 239–242
Citation in format AMSBIB
\Bibitem{Gel04}
\by B.~D.~Gel'man
\paper An Infinite-Dimensional Version of the Borsuk--Ulam Theorem
\jour Funktsional. Anal. i Prilozhen.
\yr 2004
\vol 38
\issue 4
\pages 1--5
\mathnet{http://mi.mathnet.ru/faa121}
\crossref{https://doi.org/10.4213/faa121}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2117503}
\zmath{https://zbmath.org/?q=an:1069.47012}
\transl
\jour Funct. Anal. Appl.
\yr 2004
\vol 38
\issue 4
\pages 239--242
\crossref{https://doi.org/10.1007/s10688-005-0001-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227247000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-15244363360}
Linking options:
  • https://www.mathnet.ru/eng/faa121
  • https://doi.org/10.4213/faa121
  • https://www.mathnet.ru/eng/faa/v38/i4/p1
    • 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:647
    Full-text PDF :297
    References:79
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024