Korovkin sets for an operator on a space of continuous functions

Le Baron O. Ferguson and Michael D. Rusk

Vol. 65 (1976), No. 2, 337–345

DOI: 10.2140/pjm.1976.65.337

Abstract

We characterize Korovkin sets for sequences of either positive operators or contractive operators converging to an operator T. Properties of both the Korovkin sets and the operator T are given which were previously known only in the case T was the identity operator.

Mathematical Subject Classification 2000

Primary: 41A65

Milestones

Received: 14 August 1975

Revised: 6 April 1976

Published: 1 August 1976