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The M-ideal structure of some algebras of bounded linear operators

Published online by Cambridge University Press:  14 November 2011

Nigel J. Kalton  and
Dirk Werner
Nigel J. Kalton
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211U.S.A., e-mail: mathnjk@mizzoul.missouri.edu
Dirk Werner
Affiliation:
I. Mathematisches Institut, Freie Universität Berlin, Arnimallee 2–6, 14195 Berlin, Germany, e-mail: werner@math.fu-berlin.de
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Extract

Let 1 < p, q < ∞. It is shown for complex scalars that there are no nontrivial M-ideals in ℒ(Lp[0, 1]) if p ≠ 2, and is the only nontrivial M-ideal in .

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 3 , 1995 , pp. 493 - 500
Copyright
Copyright © Royal Society of Edinburgh 1995

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