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An unconditionally saturated Banach space with the scalar-plus-compact property

Manousakis Antonios, Pelczar-Barwacz Anna, Świȩtek Michał

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URI: http://purl.tuc.gr/dl/dias/DB5E64AD-BD82-4475-8CD2-CE918EC36AF4
Year 2017
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation A. Manoussakis, A. Pelczar-Barwacz and M. Świȩtek, "An unconditionally saturated Banach space with the scalar-plus-compact property," J. Funct. Anal., vol. 272, no.12, pp. 4944-4983, Jun. 2017. doi: 10.1016/j.jfa.2017.01.017 https://doi.org/10.1016/j.jfa.2017.01.017
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Journal Publications in Community School of Chemical and Environmental Engineering

Summary

We construct a Bourgain–Delbaen L∞-space XKus with structure that is strongly heterogeneous: any bounded operator on XKus is a compact perturbation of a multiple of the identity, whereas the space XKus is saturated with unconditional basic sequences.

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