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Points fixes dans les espaces des operateurs nucleaires

Published online by Cambridge University Press:  17 April 2009

Mourad Besbes
Mourad Besbes
Affiliation:
Equipe d'analyse, Boîte 186 Université Paris VI 4, Place Jussieu 75252 - Paris Cedex 05, France
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Abstract

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We prove that some metric inequalities imply weak or weak-star normal structure. In particular, we prove that every ω*-compact convex set in the space C1(lp, lq) of nuclear operators from lp into lq, (1 < p, q < ∞, 1/p + 1/q = 1) has the weak* normal structure. This generalises a recent result of C. Lennard.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 2 , October 1992 , pp. 287 - 294
Copyright
Copyright © Australian Mathematical Society 1992

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