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Interpolating hereditarily indecomposable Banach spaces

Spiros A. Argyros, V. Felouzis

math.FAarXiv:math/9712277

Abstract

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

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