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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Received: 2.7.1997; revised version received 4.5.98.
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Ferenczi, V., Habala, P. A uniformly convex Banach space whose subspaces fail Gordon-Lewis property. Arch. Math. 71, 481–492 (1998). https://doi.org/10.1007/s000130050293
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DOI: https://doi.org/10.1007/s000130050293