Norm attaining operators on L¹[0,1] and the Radon-Nikodým property

J. Jerry Uhl, Jr.

Vol. 63 (1976), No. 1, 293–300

DOI: 10.2140/pjm.1976.63.293

Abstract

Let Y be a strictly convex Banach space. Then norm attaining operators mapping L¹[0,1] to Y are dense in the space of all linear operators from L¹[0,1] to Y if and only if Y has the Radon-Nikodým property.

Mathematical Subject Classification 2000

Primary: 46B99

Milestones

Received: 12 March 1975

Revised: 23 October 1975

Published: 1 March 1976