• Login
    View Item 
    •   Repository Home
    • Doctor of Philosophy Theses and Dissertations(PHD)
    • PHD-School of Pure And Applied Sciences
    • PHD-Department of Mathematics
    • PHD-Department of Mathematics
    • View Item
    •   Repository Home
    • Doctor of Philosophy Theses and Dissertations(PHD)
    • PHD-School of Pure And Applied Sciences
    • PHD-Department of Mathematics
    • PHD-Department of Mathematics
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    On the spectrum of the cesaro operator

    Thumbnail
    View/Open
    Abstract (19.69Kb)
    Date
    2012-05-24
    Author
    Okutoyi, J. I.
    Metadata
    Show full item record
    Abstract
    This thesis consists of four chapters. In chapter one, we determine the most general continuous linear functional f X, where X is any semiconservative BK-space with +) as its  Schauder basis. We also determine the necessary and sufficient conditions for(Ak)°bv°(X), bv(X), where Ak B(X, Y), X and Y are any Banach spaces. In chapter two, we study the general FH-spaces with H = S, where S is the space of all double sequences in which coordinates are continuous. We then specialize and obtain the relation between c(c) , c(c), c(c) and RCN. We also prove that c(c) = RC. In chapter three, we determine the spectrum of the Cesaro operator C1 = (C, 1) on c, bv, bv, wp (0) and wp (1p < ). In chapter four, we study 4-dimensional matrices and then go on to determine the spectrum of the Cesaro operator C11 = (C, 1,1) on c(c) by a direct method. A method, which consists of both classical and analytical techniques.
    URI
    http://ir-library.ku.ac.ke/handle/123456789/4772
    Collections
    • PHD-Department of Mathematics [19]

    Designed by Library ICT Team copyright © 2017 
    Contact Us | Send Feedback

     

     

    Browse

    All of RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    Designed by Library ICT Team copyright © 2017 
    Contact Us | Send Feedback