Algebra i Analiz
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


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2010, Volume 22, Issue 2, Pages 1–13 (Mi aa1176)  
This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

To the theory of infinitely differentiable semigroups of operators

M. S. Bichegkuev

North-Ossetia State University, Vladikavkaz, Russia
Full-text PDF (611 kB) Citations (6)
References:
PDF
HTML
Abstract: Given a linear relation (multivalued linear operator) with certain growth restrictions on the resolvent, an infinitely differentiable semigroup of operators is constructed. It is shown that the initial linear relation is a generator of this semigroup. The results obtained are intimately related to certain results in the monograph “Functional analysis and semi-groups” by Hille and Phillips.
Keywords: linear relation, infinitely differentiable semigroup of operators, generator of a semigroup, resolvent set.
Received: 06.04.2009
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 2, Pages 175–182
DOI: https://doi.org/10.1090/S1061-0022-2011-01137-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. S. Bichegkuev, “To the theory of infinitely differentiable semigroups of operators”, Algebra i Analiz, 22:2 (2010), 1–13; St. Petersburg Math. J., 22:2 (2011), 175–182
Citation in format AMSBIB
\Bibitem{Bic10}
\by M.~S.~Bichegkuev
\paper To the theory of infinitely differentiable semigroups of operators
\jour Algebra i Analiz
\yr 2010
\vol 22
\issue 2
\pages 1--13
\mathnet{http://mi.mathnet.ru/aa1176}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2668123}
\zmath{https://zbmath.org/?q=an:1244.47018}
\transl
\jour St. Petersburg Math. J.
\yr 2011
\vol 22
\issue 2
\pages 175--182
\crossref{https://doi.org/10.1090/S1061-0022-2011-01137-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000288688900001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84871369245}
Linking options:
  • https://www.mathnet.ru/eng/aa1176
  • https://www.mathnet.ru/eng/aa/v22/i2/p1
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024