The cofinal property of the reflexive indecomposable banach spaces

摘要

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-saturated space with I < p < ∞ and of a Cu saturated space.