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Representing types in Orlicz and Lorentz sequence spaces

Published online by Cambridge University Press:  24 October 2008

Jesús Bastero  and
Yves Raynaud
Jesús Bastero
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
Yves Raynaud
Affiliation:
Equipe d'Analyse, Université Paris VI, 4 Place Jussieu, 75252 Paris, Cedex 05, France
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Abstract

The aim of this paper is to give a representation for the types in some stable Banach sequence spaces, namely in the Orlicz, Lorentz and dual of Lorentz sequence spaces. We also find a characterization for the Lorentz sequence spaces whose class of weakly-null types is locally compact for the topology of uniform convergence on bounded subsets.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 107 , Issue 3 , May 1990 , pp. 525 - 538
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

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