A Choquet-Deny-Type Theorem and Applications to Approximation in Weighted Spaces |
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| Authors: | Márcia Kashimoto Zuhair Nashed |
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| Affiliation: | 1. Departamento de Matemática e Computa??o, Universidade Federal de Itajubá, Caixa postal 50, 37500-903, Itajubá MG, Brazil
2. Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA
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| 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. |
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| Keywords: | Primary 41A65 Secondary 46A55 |
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