A universal property of reflexive hereditarily indecomposable Banach spaces

Argyros, Spiros

doi:10.1090/S0002-9939-01-05980-9

A universal property of reflexive hereditarily indecomposable Banach spaces
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by Spiros A. Argyros PDF

Proc. Amer. Math. Soc. 129 (2001), 3231-3239 Request permission

Abstract:

It is shown that every separable Banach space $X$ universal for the class of reflexive Hereditarily Indecomposable space contains $C[0,1]$ isomorphically and hence it is universal for all separable spaces. This result shows the large variety of reflexive H.I. spaces.

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