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, 2005, Volume 39, Issue 2, Pages 13–30
DOI: https://doi.org/10.4213/faa37 (Mi faa37) 		 
This article is cited in 29 scientific papers (total in 30 papers)

Locally Scalar Graph Representations in the Category of Hilbert Spaces

S. A. Kruglyak, A. V. Roiter

Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (282 kB) Citations (30)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa37
Abstract: The condition of being locally scalar is imposed on graph (or quiver) representations in the category of Hilbert spaces. Under this condition, reflection and Coxeter functors are constructed in categories of such representations and used to prove an analog of the Gabriel theorem.
Keywords: quiver (graph) representation, unitary equivalence, Hilbert space, Dynkin graph, Coxeter functor, locally scalar representation, reflection.
Received: 15.07.2003
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 2, Pages 91–105
DOI: https://doi.org/10.1007/s10688-005-0022-8
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: S. A. Kruglyak, A. V. Roiter, “Locally Scalar Graph Representations in the Category of Hilbert Spaces”, Funktsional. Anal. i Prilozhen., 39:2 (2005), 13–30; Funct. Anal. Appl., 39:2 (2005), 91–105
Citation in format AMSBIB
\Bibitem{KruRoi05}
\by S.~A.~Kruglyak, A.~V.~Roiter
\paper Locally Scalar Graph Representations in the Category of Hilbert Spaces
\jour Funktsional. Anal. i Prilozhen.
\yr 2005
\vol 39
\issue 2
\pages 13--30
\mathnet{http://mi.mathnet.ru/faa37}
\crossref{https://doi.org/10.4213/faa37}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2161513}
\zmath{https://zbmath.org/?q=an:1175.16011}
\transl
\jour Funct. Anal. Appl.
\yr 2005
\vol 39
\issue 2
\pages 91--105
\crossref{https://doi.org/10.1007/s10688-005-0022-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000231004800002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-23744452463}
Linking options:
  • https://www.mathnet.ru/eng/faa37
  • https://doi.org/10.4213/faa37
  • https://www.mathnet.ru/eng/faa/v39/i2/p13
    • This publication is cited in the following 30 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:555
    Full-text PDF :210
    References:73
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024