Reflexivity of spaces of weakly summable sequences.

L. Oubbi; M. A. Ould Sidaty

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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 $1 < p < \infty$ and of a $c_{0}$ saturated space.