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A universal property of reflexive hereditarily indecomposable Banach spaces
Authors:Spiros A Argyros
Institution:Department of Mathematics, Athens University, Athens, Greece
Abstract:

It is shown that every separable Banach space $X$ universal for the class of reflexive Hereditarily Indecomposable space contains $C0,1]$ isomorphically and hence it is universal for all separable spaces. This result shows the large variety of reflexive H.I. spaces.

Keywords:Reflexive Banach spaces  hereditarily indecomposable Banach spaces  universal Banach spaces  well-founded trees
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