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Journal of Convex Analysis 22 (2015), No. 3, 859--869
Copyright Heldermann Verlag 2015

A Generalised Korovkin Theorem

Pradipta Bandyopadhyay
Statistics Mathematics Division, Indian Statistical Institute, 203 B. T. Road, Kolkata 700 108, India

Ashoke K. Roy
Dept. of Mathematics, Ramakrishna Mission, Vivekananda University, P. O.: Belur Math, Howrah 711 202, West Bengal -- India

The main result of this paper is a general Korovkin-type approximation theorem for an injective isometry between C(X) and C(Y), where X, Y are compact Hausdorff spaces.

Keywords: Korovkin-type approximation, Choquet boundary, injective isometry.

MSC: 41A35, 41A36, 46E15

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