A hereditarily indecomposable Banach space with rich spreading model structure

Spiros A. Argyros, Pavlos Motakis

We present a reflexive Banach space ${\mathfrak{X}}_{{}_{{}^{\text{usm}}}}$ which is Hereditarily Indecomposable and satisfies the following properties. In every subspace $Y$ of $\mathfrak…