Abstract
We prove the existence of a uniformly convex Banach space whose subspaces fail Gordon-Lewis property. The space is a mixture of the example of a uniformy convex hereditarily indecomposable Banach space given by the first-named author in [3] and of the example of a Banach space whose subspaces fail Gordon-Lewis property given by the second-named author in [6]. Both constructions were inspired by the example of a hereditarily indecomposable Banach space given by W.T. Gowers and B. Maurey in [5].
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