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arXiv · 1206.0651

A type (4) space in (FR)-classification

Spiros A. Argyros·Antonis Manoussakis·Anna Pelczar-Barwacz
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Abstract

We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal list within the framework of Gowers' classification program of Banach spaces. The space is an unconditional variant of the Gowers Hereditarily Indecomposable space with asymptotically unconditional basis.

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Spiros A. Argyros, Antonis Manoussakis, Anna Pelczar-Barwacz. 2012-06-04. A type (4) space in (FR)-classification. https://arxiv.org/abs/1206.0651

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