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Bull. Korean Math. Soc. 2011; 48(5): 1105-1109

Printed September 1, 2011

https://doi.org/10.4134/BKMS.2011.48.5.1105

Copyright © The Korean Mathematical Society.

Approximation and interpolation in the space of continuous functions vanishing at infinity

M\'arcia Kashimoto

Universidade Federal de Itajub\'a - UNIFEI

Abstract

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We establish a result concerning simultaneous approximation and interpolation from certain uniformly dense subsets of the space of vector-valued continuous functions vanishing at infinity on locally compact Hausdorff spaces.

Keywords: simultaneous approximation and interpolation, Walsh's theorem

MSC numbers: Primary 41A65; Secondary 41A05

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