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, 2002, Volume 36, Issue 3, Pages 20–35
DOI: https://doi.org/10.4213/faa201 (Mi faa201) 		 
This article is cited in 61 scientific papers (total in 61 papers)

On Sums of Projections

S. A. Kruglyak, V. I. Rabanovich, Yu. S. Samoilenko

Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (257 kB) Citations (61)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa201
Abstract: In the paper, for all $n\in\mathbb{N}$, we describe the set $\Sigma_n$ of all real numbers $\alpha$ admitting a collection of projections $P_1,\dots,P_n$ on a Hilbert space $H$ such that $\sum_{k=1}^n P_k=\alpha I$ ($I$ is the identity operator on $H$) and study the problem to find all collections of this kind for a given $\alpha\in\Sigma_n$.
Keywords: algebra, representation, operator, matrix, projection, identity.
Received: 08.11.2001
English version:
Functional Analysis and Its Applications, 2006, Volume 36, Issue 3, Pages 182–195
DOI: https://doi.org/10.1023/A:1020193804109
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: S. A. Kruglyak, V. I. Rabanovich, Yu. S. Samoilenko, “On Sums of Projections”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 20–35; Funct. Anal. Appl., 36:3 (2006), 182–195
Citation in format AMSBIB
\Bibitem{KruRabSam02}
\by S.~A.~Kruglyak, V.~I.~Rabanovich, Yu.~S.~Samoilenko
\paper On Sums of Projections
\jour Funktsional. Anal. i Prilozhen.
\yr 2002
\vol 36
\issue 3
\pages 20--35
\mathnet{http://mi.mathnet.ru/faa201}
\crossref{https://doi.org/10.4213/faa201}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1935900}
\zmath{https://zbmath.org/?q=an:1038.47001}
\transl
\jour Funct. Anal. Appl.
\yr 2006
\vol 36
\issue 3
\pages 182--195
\crossref{https://doi.org/10.1023/A:1020193804109}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0036377329}
Linking options:
  • https://www.mathnet.ru/eng/faa201
  • https://doi.org/10.4213/faa201
  • https://www.mathnet.ru/eng/faa/v36/i3/p20
    • This publication is cited in the following 61 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:808
    Full-text PDF :429
    References:71
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024