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Quasi-minimality and tightness by range in spaces with unconditional basis |
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| Authors: | Spiros A. Argyros Antonis Manoussakis Anna Pelczar-Barwacz |
| Affiliation: | 1. Department of Mathematics, National Technical University of Athens, Athens, 15780, Greece 2. Department of Sciences, Technical University of Crete, GR, Chania, 73100, Greece 3. Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, ?ojasiewicza 6, 30-348, Kraków, Poland |
| 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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