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Resumen de Isometric embeddings and universal spaces

Gilles Godefroy Árbol académico, Nigel J. Kalton Árbol académico

  • We show that if a separable Banach space Z contains isometric copies of every strictly convex separable Banach space, then Z actually contains an isometric copy of every separable Banach space. We prove that if Y is any separable Banach space of dimension at least 2, then the collection of separable Banach spaces which contain an isometric copy of Y is analytic non Borel.


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