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arXiv · 1003.0870

The cofinal property of the Reflexive Indecomposable Banach spaces

Spiros A. Argyros·Theocharis Raikoftsalis
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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.

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Spiros A. Argyros, Theocharis Raikoftsalis. 2010-03-03. The cofinal property of the Reflexive Indecomposable Banach spaces. https://arxiv.org/abs/1003.0870

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