Espaces de Banach superstables, distances stables et homeomorphismes uniformes
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 \(\ell_ p\).
scientific article; zbMATH DE number 3853771
scientific article