Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik SamU. Estestvenno-Nauchnaya Ser.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2022, Volume 28, Issue 1-2, Pages 7–22
DOI: https://doi.org/10.18287/2541-7525-2022-28-1-2-7-22 (Mi vsgu673) 		 
Mathematics

Properties of measures on “stable” boolean algebras

M. G. Svistula, T. A. Sribnaya

Samara National Research University, Samara, Russian Federation
Full-text PDF (762 kB)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
DOI: https://doi.org/10.18287/2541-7525-2022-28-1-2-7-22
Abstract: We study the properties of finitely additive measures with values in a topological abelian group and defined on a wide class of Boolean algebras, which covers algebras with SIP and algebras $\Gamma_\nu$ ( if $\nu$ satisfies some conditions). We establish sufficient conditions for the sequences of such measures to be uniformly strongly continuous. Novelty in this theme is that we do not require uniform exhaustivity and, in some theorems, even exhaustivity for measures. Applications to weak convergence of measures are presented.
Keywords: boolean algebra, topological abelian group, strongly continuous measure, exhaustive measure, uniform exhaustibility of the family of measures, uniform boundedness of the family of measures, poor convergence of measures.
Received: 03.05.2022
Revised: 14.06.2022
Accepted: 14.11.2022
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: M. G. Svistula, T. A. Sribnaya, “Properties of measures on “stable” boolean algebras”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 28:1-2 (2022), 7–22
Citation in format AMSBIB
\Bibitem{SviSri22}
\by M.~G.~Svistula, T.~A.~Sribnaya
\paper Properties of measures on ``stable'' boolean algebras
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2022
\vol 28
\issue 1-2
\pages 7--22
\mathnet{http://mi.mathnet.ru/vsgu673}
\crossref{https://doi.org/10.18287/2541-7525-2022-28-1-2-7-22}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4535213}
Linking options:
  • https://www.mathnet.ru/eng/vsgu673
  • https://www.mathnet.ru/eng/vsgu/v28/i1/p7
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного университета. Естественнонаучная серия
    Statistics & downloads:
    Abstract page:47
    Full-text PDF :17
    References:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024