This is an announcement for the paper "The cofinal property of the reflexive indecomposable Banach spaces" by Spiros A. Argyros and Theocharis Raikoftsalis.

Abstract: It is shown that every separable reflexive Banach space is a quotient of a reflexive Hereditarily Indecomposable space, which yields that every separable reflexive Banach is isomorphic to a subspace of a reflexive Indecomposable space. Furthermore, every separable reflexive Banach space is a quotient of a reflexive complementably $\ell_p$ saturated space with $1<p<\infty$ and of a $c_0$ saturated space.

Archive classification: math.FA

Mathematics Subject Classification: 46B03, 46B06, 46B70

Remarks: 29 pages

The source file(s), Arg-Raiko-Cofinal.tex: 122453 bytes, is(are) stored in gzipped form as 1003.0870.gz with size 36kb. The corresponding postcript file has gzipped size 84kb.

Submitted from: sargyros@math.ntua.gr

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