UBRISA

View Item 
  •   Ubrisa Home
  • Faculty of Science
  • Mathematics
  • Research articles (Dept of Mathematics)
  • View Item
  •   Ubrisa Home
  • Faculty of Science
  • Mathematics
  • Research articles (Dept of Mathematics)
  • View Item
    • Login
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Extensions of the Lusin's Theorem, the Severini-Egorov's Theorem and the Riesz Subsequence Theorems

    Thumbnail
    View/Open
    Robdera142016ARJOM29547 (2).pdf (435.2Kb)
    Date
    2016-10-14
    Author
    Robdera, Mangatiana A.
    Publisher
    ScienceDomain International; www.sciencedomain.org
    Link
    http://www.sciencedomain.org/download/MTY1NTZAQHBwZg.pdf
    Rights
    This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
    Rights holder
    Robdera
    Type
    Published Article
    Metadata
    Show full item record
    Abstract
    We give extensions of the Lusin’s Theorem, the Severini-Egorov’s Theorem, and the Riesz Subsequence Theorems to the setting of a non-additive vector valued set functions and sequences of functions taking values in general metric spaces.
    URI
    http://hdl.handle.net/10311/1537
    Collections
    • Research articles (Dept of Mathematics) [36]

    Related items

    Showing items related by title, author, creator and subject.

    • On size function topology and fixed point theorems 

      Robdera, Mangatiana A. (International Scientific Publications and Consulting Services, http://www.ispacs.com/about.php, 2017-06)
      In this paper, we introduce and study a metric-like (non-necessarily metric) topology that is weaker than the original topology of a given topological space. The results are used to provide more useful and more general ...
    • On the differentiability of vector valued additive set functions 

      Robdera, Mangatiana A.; Kagiso, Dintle (Scientific Research, http://www.scirp.org, 2013-11)
      The Lebesgue-Nikodým Theorem states that for a Lebesgue measure λ:Σ〖⊂2〗^Ω→[0,∞) an additive set function F:Σ→R which is λ-absolutely continuous is the integral of a Lebegsue integrable a measurable function ...
    • Fundamental Theorem of Calculus in Topological Vector Spaces 

      Robdera, M. A.; Kagiso, D. N. (Journal of Mathematics Extension, 2017-10)
      We extend the notions of integration and differentiation to cover the class of functions taking values in topological vector spaces. We give versions of the Lebesgue-Nikodym Theorem and the Fundamental Theorem of Calculus ...

    DSpace software copyright © 2002-2015  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    @mire NV
     

     

    Browse

    All of UBRISA > Communities & Collections > By Issue Date > Authors > Titles > SubjectsThis Collection > By Issue Date > Authors > Titles > Subjects

    My Account

    > Login > Register

    Statistics

    > Most Popular Items > Statistics by Country > Most Popular Authors