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 the 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 an asymptotically unconditional basis.
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Research partially supported by the program “Aριστ∈ια” no. 68/1137.
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Argyros, S.A., Manoussakis, A. & Pelczar-Barwacz, A. Quasi-minimality and tightness by range in spaces with unconditional basis. Isr. J. Math. 200, 19–38 (2014). https://doi.org/10.1007/s11856-014-0004-8
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DOI: https://doi.org/10.1007/s11856-014-0004-8