The cofinal property of the Reflexive Indecomposable Banach spaces

Details The cofinal property of the Reflexive Indecomposable Banach spaces The cofinal property of the Reflexive Indecomposable Banach spaces

2010-03-03

arxiv.org/abs/1003.0870v1

Mathematics

Functional Analysis

29 pages

Scientific paper

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

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