A characterization of M-ideals in B(l_p) for 1 < p < ∞

Patrick Hudson Flinn

Vol. 98 (1982), No. 1, 73–80

DOI: 10.2140/pjm.1982.98.73

Abstract

For 1 < p < ∞ the only nontrivial M-ideal in B(l_p), the bounded linear operators on l_p, is K(l_p), the ideal of compact operators on l_p.

Mathematical Subject Classification

Primary: 47D30, 47D30

Milestones

Received: 20 February 1979

Revised: 5 March 1981

Published: 1 January 1982