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
pradipta@isical.ac.in
Ashoke K. Roy
Dept. of Mathematics, Ramakrishna Mission, Vivekananda University, P. O.: Belur Math, Howrah 711 202, West Bengal -- India
ashokeroy2@gmail.com
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
[ Fulltext-pdf (131 KB)] for subscribers only.