Norm attaining operators on Lebesgue spaces

Anzelm Iwanik

Vol. 83 (1979), No. 2, 381–386

DOI: 10.2140/pjm.1979.83.381

Abstract

Let X and Y be Lebesgue spaces (AL-spaces). Then the norm attaining operators mapping X to Y are dense in the space of all linear bounded operators from X to Y .

Mathematical Subject Classification 2000

Primary: 47D30, 47D30

Secondary: 46B20, 47B38

Milestones

Received: 30 May 1978

Revised: 31 October 1978

Published: 1 August 1979