Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2019, Volume 83, Issue 1, Pages 124–150
DOI: https://doi.org/10.1070/IM8704 (Mi im8704) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The main classes of invariant Banach limits

E. M. Semenova, F. A. Sukochevb, A. Usachevc

a Voronezh State University
b University of New South Wales, School of Mathematics and Statistics, Sidney, Australia
c Department of Mathematical Sciences, Chalmers University of Technology and the University of Göteborg, Göteborg, Sweden
English version PDF (384 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM8704
Abstract: We study functional characteristics and extreme points of the set of Banach limits on the space of bounded sequences. We also consider Banach limits with additional invariance properties with respect to the dilation operator and the Cesàro operator.
Keywords: invariant Banach limits, extreme points, Cesàro operator, dilation operator.
Funding agency Grant number
Russian Science Foundation 16-11-10125
Austrian Science Fund
The work of the first and third authors is supported by the Russian Science Foundation under grant 16-11-10125. The second author was supported by the Australian Research Council.
Received: 28.07.2017
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2019, Volume 83, Issue 1, Pages 140–167
DOI: https://doi.org/10.4213/im8704
Bibliographic databases:
Document Type: Article
UDC: 517.982.22
MSC: 46B15, 46B45
Language: English
Original paper language: Russian
Citation: E. M. Semenov, F. A. Sukochev, A. Usachev, “The main classes of invariant Banach limits”, Izv. RAN. Ser. Mat., 83:1 (2019), 140–167; Izv. Math., 83:1 (2019), 124–150
Citation in format AMSBIB
\Bibitem{SemSukUsa19}
\by E.~M.~Semenov, F.~A.~Sukochev, A.~Usachev
\paper The main classes of invariant Banach limits
\jour Izv. RAN. Ser. Mat.
\yr 2019
\vol 83
\issue 1
\pages 140--167
\mathnet{http://mi.mathnet.ru/im8704}
\crossref{https://doi.org/10.4213/im8704}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3920393}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2019IzMat..83..124S}
\elib{https://elibrary.ru/item.asp?id=37045042}
\transl
\jour Izv. Math.
\yr 2019
\vol 83
\issue 1
\pages 124--150
\crossref{https://doi.org/10.1070/IM8704}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000459866800006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064124440}
Linking options:
  • https://www.mathnet.ru/eng/im8704
  • https://doi.org/10.1070/IM8704
  • https://www.mathnet.ru/eng/im/v83/i1/p140
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:496
    Russian version PDF:86
    English version PDF:46
    References:53
    First page:17
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024