Characterization of collectively compact sets of linear operators

John Deryck De Pree and Harry Scott Klein

Vol. 55 (1974), No. 1, 45–54

DOI: 10.2140/pjm.1974.55.45

Abstract

The basic results in this paper show that each collectively compact set of linear operators can be viewed as an equicontinuous collection followed by a single compact operator. This observation not only gives insight into the character of collectively compact sets of linear operators, but also yields easier proofs of many of the results obtained by earlier workers in the field.

Mathematical Subject Classification

Primary: 47D05

Secondary: 47B05

Milestones

Received: 4 April 1973

Published: 1 November 1974