Interpolating hereditarily indecomposable Banach spaces

It is shown that every Banach space either contains $\ell ^1$ or it has an infinite dimensional closed subspace which is a quotient of a H.I. Banach space.Further on, $L^p(λ)$, $1<p<\infty$, is a quotient of a H.I Banach space.

No reviews yet.

No comments yet.