Title

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

Authors

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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