Extreme points in the Hahn-Banach-Kantorovič setting

Harald Luschgy and Wolfgang Thomsen

Vol. 105 (1983), No. 2, 387–398

DOI: 10.2140/pjm.1983.105.387

Abstract

This paper presents an existence and characterization theorem for the extreme points of the convex set of all extensions of a linear operator from a real vector space into an order complete real vector lattice which are dominated by a sublinear operator. This result is applied to positive extensions, contractions, and dominated invariant extensions.

Mathematical Subject Classification 2000

Primary: 46A40

Milestones

Received: 22 May 1981

Revised: 8 March 1982

Published: 1 April 1983