Abstract of a paper by Spiros A. Argyros and Theocharis Raikoftsalis
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1003.0870 or http://arXiv.org/abs/1003.0870 or by email in unzipped form by transmitting an empty message with subject line uget 1003.0870 or in gzipped form by using subject line get 1003.0870 to: math@arXiv.org.
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