Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2015, Volume 97, Issue 2, Pages 174–190
DOI: https://doi.org/10.4213/mzm10285 (Mi mzm10285) 		 
This article is cited in 32 scientific papers (total in 32 papers)

Harmonic and Spectral Analysis of Power Bounded Operators and Bounded Semigroups of Operators on Banach Spaces

A. G. Baskakov

Voronezh State University
Full-text PDF (576 kB) Citations (32)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10285
Abstract: Asymptotic representations of power bounded operators and bounded semigroups of linear operators acting in Banach spaces are obtained under the assumptions that the spectrum of bounded operators on the unit circle and the spectrum of the semigroup generator on the imaginary axis are countable. The methods of abstract harmonic analysis and the spectral theory of operators were used.
Keywords: power bounded operator, operator semigroup, harmonic analysis, spectral theory, asymptotic representation, Banach algebra.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00378
Russian Science Foundation 14-21-00066
This work was supported by the Russian Foundation for Basic Research (grant no. 13-01-00378) by the Russian Science Foundation (grant no. 14-21-00066 at Voronezh State University).
Received: 19.03.2013
Revised: 08.06.2013
English version:
Mathematical Notes, 2015, Volume 97, Issue 2, Pages 164–178
DOI: https://doi.org/10.1134/S0001434615010198
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. G. Baskakov, “Harmonic and Spectral Analysis of Power Bounded Operators and Bounded Semigroups of Operators on Banach Spaces”, Mat. Zametki, 97:2 (2015), 174–190; Math. Notes, 97:2 (2015), 164–178
Citation in format AMSBIB
\Bibitem{Bas15}
\by A.~G.~Baskakov
\paper Harmonic and Spectral Analysis of Power Bounded Operators and Bounded Semigroups of Operators on Banach Spaces
\jour Mat. Zametki
\yr 2015
\vol 97
\issue 2
\pages 174--190
\mathnet{http://mi.mathnet.ru/mzm10285}
\crossref{https://doi.org/10.4213/mzm10285}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3370505}
\zmath{https://zbmath.org/?q=an:06459065}
\elib{https://elibrary.ru/item.asp?id=23421506}
\transl
\jour Math. Notes
\yr 2015
\vol 97
\issue 2
\pages 164--178
\crossref{https://doi.org/10.1134/S0001434615010198}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000350557000019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941621581}
Linking options:
  • https://www.mathnet.ru/eng/mzm10285
  • https://doi.org/10.4213/mzm10285
  • https://www.mathnet.ru/eng/mzm/v97/i2/p174
    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:1379
    Full-text PDF :203
    References:148
    First page:129
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024