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

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ISSN 1945-5844 (electronic)

ISSN 0030-8730 (print)

Vol. 98 (1982), No. 1, 73–80

DOI: 10.2140/pjm.1982.98.73

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.

Primary: 47D30, 47D30

Received: 20 February 1979

Revised: 5 March 1981

Published: 1 January 1982