Unconditionally saturated Banach space with the scalar-plus-compact property
| Autor: | Manoussakis, Antonis, Pelczar-Barwacz, Anna, Świȩtek, Michał |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jfa.2017.01.017 |
| Popis: | We construct a Bourgain-Delbaen $\mathscr{L}_\infty$-space $\mathfrak{X}_{Kus}$ with strongly heterogenous structure: any bounded operator on $\mathfrak{X}_{Kus}$ is a compact perturbation of a multiple of the identity, whereas the space $\mathfrak{X}_{Kus}$ is saturated with unconditional basic sequences. Comment: The result about tightness removed,notation clarified and corrected, clarifying comments added, Journal of Functional Analysis, 2017 |
| Databáze: | arXiv |
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