A Choquet-Deny-type theorem and applications to approximation in weighted spaces

    Authors

    M. Kashimoto;Z. Nashed

    Comments

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    Abbreviated Journal Title

    Mediterr. J. Math.

    Keywords

    Choquet-Deny theorem; Stone-Weierstrass theorem; inf-lattice; convex; cone; weighted space; Korovkin closure; interpolation; STABLE CONVEX CONES; STRICT TOPOLOGY; Mathematics, Applied; Mathematics

    Abstract

    We present a Choquet-Deny-type theorem in weighted spaces together with an application to simultaneous approximation and interpolation from inf-lattices generated by convex sets. Moreover, we determine a characterization of the Korovkin closure of vector lattices and, as a consequence, a different proof of the Stone-Weierstrass theorem for some weighted spaces.

    Journal Title

    Mediterranean Journal of Mathematics

    Volume

    2

    Issue/Number

    4

    Publication Date

    1-1-2005

    Document Type

    Article

    Language

    English

    First Page

    407

    Last Page

    416

    WOS Identifier

    WOS:000239024900004

    ISSN

    1660-5446

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