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Homéomorphismes Uniformes Entre les Sphères Unité des Espaces D'Interpolation

Published online by Cambridge University Press:  20 November 2018

Mohamad Daher*
Affiliation:
Université Paris VII, Paris, France
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Résumé

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Si (A0,A1) est un couple d'interpolation et si A0 est uniformément convexe on montre que pour tous θ1, θ2 ∊ ]0,1 [ il existe un homéomorphisme uniforme entre la sphère unité de (A0,A1)θ1 et la sphère unité de (A0, A1)θ2.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1995

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