ZIPPIN'S EMBEDDING THEOREM AND AMALGAMATIONS OF CLASSES OF BANACH SPACES

Abstract

It was proved by Dodos and Ferenczi that the classes of Banach spaces with a separable dual and of separable reflexive Banach spaces are strongly bounded. In this paper, we provide an isometric version of this result.

Keywords

• Zippin's theorem
• isometric embedding
• Effros Borel structure
• analytic set
• separable dual
• reflexivity