A Generalised Korovkin Theorem

Pradipta Bandyopadhyay; Ashoke K. Roy

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Korovkin-type approximation
Choquet boundary
injective isometry

Mathematics Subject Classification

41A35, 41A36, 46E15

Suggested citation

P. Bandyopadhyay, A. K. Roy. “A Generalised Korovkin Theorem.” Journal of Convex Analysis 22 (2015), No. 3, 859–869.