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, 2007, Volume 41, Issue 3, Pages 1–16
DOI: https://doi.org/10.4213/faa2864 (Mi faa2864) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Locally Definitizable Matrix Functions

T. Ya. Azizova, P. Jonasb

a Voronezh State University
b Institut für Mathematik, Technische Universität Berlin
Full-text PDF (253 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa2864
Abstract: We study analytic properties of special classes of matrix functions (locally definitizable and locally Nevanlinna functions) by methods of operator theory. The aim of this paper is to prove that if $G(\lambda)$ is a locally definitizable or locally generalized matrix Nevanlinna function, then $-(G(\lambda))^{-1}$ belongs to the same class.
Keywords: Krein space, meromorphic function, definitizable operator-function, Nevanlinna matrix-function, generalized resolvent.
Received: 15.09.2005
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 3, Pages 169–180
DOI: https://doi.org/10.1007/s10688-007-0015-x
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: T. Ya. Azizov, P. Jonas, “On Locally Definitizable Matrix Functions”, Funktsional. Anal. i Prilozhen., 41:3 (2007), 1–16; Funct. Anal. Appl., 41:3 (2007), 169–180
Citation in format AMSBIB
\Bibitem{AziJon07}
\by T.~Ya.~Azizov, P.~Jonas
\paper On Locally Definitizable Matrix Functions
\jour Funktsional. Anal. i Prilozhen.
\yr 2007
\vol 41
\issue 3
\pages 1--16
\mathnet{http://mi.mathnet.ru/faa2864}
\crossref{https://doi.org/10.4213/faa2864}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2381951}
\zmath{https://zbmath.org/?q=an:1156.47036}
\elib{https://elibrary.ru/item.asp?id=24674300}
\transl
\jour Funct. Anal. Appl.
\yr 2007
\vol 41
\issue 3
\pages 169--180
\crossref{https://doi.org/10.1007/s10688-007-0015-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000251366100001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35648956802}
Linking options:
  • https://www.mathnet.ru/eng/faa2864
  • https://doi.org/10.4213/faa2864
  • https://www.mathnet.ru/eng/faa/v41/i3/p1
    • This publication is cited in the following 3 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:428
    Full-text PDF :204
    References:83
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024