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arXiv · 2211.10170

A Banach space with an infinite dimensional reflexive quotient algebra L(X)/SS(X)

Anna Pelczar-Barwacz
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Abstract

We construct a Banach space X of Gowers-Maurey type such that the algebra of bounded operators L(X) is a direct sum of an infinite dimensional reflexive Banach space and the operator ideal of strictly singular operators SS(X).

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Anna Pelczar-Barwacz. 2022-11-18. A Banach space with an infinite dimensional reflexive quotient algebra L(X)/SS(X). https://doi.org/10.1016/j.aim.2023.108995

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