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arXiv · 1609.06506

Unconditionally saturated Banach space with the scalar-plus-compact property

Antonis Manoussakis·Anna Pelczar-Barwacz·Michał Świȩtek
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Abstract

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.

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Antonis Manoussakis, Anna Pelczar-Barwacz, Michał Świȩtek. 2016-09-21. Unconditionally saturated Banach space with the scalar-plus-compact property. https://doi.org/10.1016/j.jfa.2017.01.017

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