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MAUREY'S EXTENSION THEOREM AND GROTHENDIECK'S PROBLÈME DES TOPOLOGIES

Published online by Cambridge University Press:  01 December 1998

A. DEFANT  and
A. PERIS
A. DEFANT
Affiliation:
Fachbereich Mathematik, Carl von Ossietzky Universität Oldenburg, D-26111 Oldenburg, Germany. E-mail: defant@mathematik.uni-oldenburg.de
A. PERIS
Affiliation:
Departamento de Matematica, Aplicada ETS Arquitectura, Universidad Politécnica Valencia, E-46071 Valencia, Spain. E-mail: aperis@pleiades.upv.es
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Abstract

Relating geometric notions like type and cotype from local Banach space theory with some important topological invariants for Fréchet spaces (for example the density condition), we prove a version of Maurey's celebrated extension theorem for the category of Fréchet spaces, and apply it to Grothendieck's problème des topologies.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 3 , December 1998 , pp. 679 - 696
Copyright
The London Mathematical Society 1998

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