Espaces de Banach superstables, distances stables et homeomorphismes uniformes
type: Item
instance of: scholarly article
title: Espaces de Banach superstables, distances stables et homeomorphismes uniformes
zbMATH Open document ID: 0537.46023
DOI: 10.1007/BF02763170
author: Yves Raynaud
published in: Israel Journal of Mathematics
publication date: 1983-01-01T00:00:00Z
review text: The superproperty associated with the notion of stable Banach spaces is investigated. The author proves \(L_ p(E)\) is superstable if and only if E is superstable. Moreover properties of Banach spaces that uniformly imbed in a superstable Banach space are studied; in particular, it is proved that such a space contains, for some real p an isomorphic copy of \(\ell_ p\).
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 3853771
zbMATH Keywords: uniform embedding
zbMATH Keywords: stable Banach spaces
zbMATH Keywords: superstable
reviewed by: Jean-Thierry Lapresté
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3853771