Interpolating hereditarily indecomposable Banach spaces

Abstract

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, $L^p(\lambda )$, $1<p<\infty$, is a quotient of a H.I Banach space.

References in corpus (1)

• Banach Spaces Of The Type Of Tsirelson

Cited by in corpus (2)

• On the complemented subspaces of the Schreier spaces
• Unconditional structures of weakly null sequences