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A universal property of reflexive hereditarily indecomposable Banach spaces |
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| Authors: | Spiros A. Argyros |
| Affiliation: | Department of Mathematics, Athens University, Athens, Greece |
| Abstract: | It is shown that every separable Banach space |
| Keywords: | Reflexive Banach spaces hereditarily indecomposable Banach spaces universal Banach spaces well-founded trees |
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universal for the class of reflexive Hereditarily Indecomposable space contains ![$C[0,1]$](http://www.ams.org/proc/2001-129-11/S0002-9939-01-05980-9/gif-abstract0/img2.gif){kind=small}
isomorphically and hence it is universal for all separable spaces. This result shows the large variety of reflexive H.I. spaces.