The cofinal property of the Reflexive Indecomposable Banach spaces

2010/03/03 by Argyros, Spiros A., Raikoftsalis, Theocharis
#46B03 #46B06 #46B70 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1003.0870

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 ℓ_p saturated space with 1

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