RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zh. Mat. Fiz. Anal. Geom.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Zh. Mat. Fiz. Anal. Geom., 2009, Volume 5, Number 2, Pages 123–144 (Mi jmag121)  

This article is cited in 2 scientific papers (total in 2 papers)

On linear relations generated by nonnegative operator function and degenerate elliptic differential-operator expression

V. M. Bruk

Saratov State Technical University, 77 Politekhnitcheskaja Str., Saratov, 410054, Russia

Abstract: In terms of boundary values, we describe a spectrum of the linear relations indicated in the paper title. We study the invertible restrictions of maximal relation and show that the operators inverse to these restrictions are integral. The criterion of holomorphicity of the family of these operators is determined. Using the results obtained, we show that the minimal relation is symmetric in Hilbert space and describe all generalized resolvents of this relation.

Key words and phrases: linear relation, symmetric relation, spectrum, generalized resolvent, holomorphic operator function, differential elliptic-type expres-sion, Green function, Banach space, Hilbert space.

Full text: PDF file (343 kB)
Full text: http:/.../abstract.php?uid=jm05-0123e
References: PDF file   HTML file

Bibliographic databases:
MSC: 47A06, 47A10, 34B05
Received: 28.10.2007
Language:

Citation: V. M. Bruk, “On linear relations generated by nonnegative operator function and degenerate elliptic differential-operator expression”, Zh. Mat. Fiz. Anal. Geom., 5:2 (2009), 123–144

Citation in format AMSBIB
\Bibitem{Bru09}
\by V.~M.~Bruk
\paper On linear relations generated by nonnegative operator function and degenerate elliptic differential-operator expression
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2009
\vol 5
\issue 2
\pages 123--144
\mathnet{http://mi.mathnet.ru/jmag121}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2536512}
\zmath{https://zbmath.org/?q=an:1203.47024}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000269825500002}
\elib{https://elibrary.ru/item.asp?id=12796284}


Linking options:
  • http://mi.mathnet.ru/eng/jmag121
  • http://mi.mathnet.ru/eng/jmag/v5/i2/p123

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. M. Bruk, “On Linear Relations Generated by an Integro-Differential Equation with Nevanlinna Measure in the Infinite-Dimensional Case”, Math. Notes, 96:1 (2014), 10–25  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. V. M. Bruk, “Boundary value problems for integral equations with operator measures”, Probl. anal. Issues Anal., 6(24):1 (2017), 19–40  mathnet  crossref  elib
  • Number of views:
    This page:158
    Full text:34
    References:25

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020