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arXiv · 2402.19067

Norm attaining operators into locally asymptotically midpoint uniformly convex Banach spaces

Audrey Fovelle
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Abstract

We prove that if $Y$ is a locally asymptotically midpoint uniformly convex Banach space which has either a normalized, symmetric basic sequence that is not equivalent to the unit vector basis in $\ell_1$, or a normalized sequence with upper p-estimates for some $p>1$, then $Y$ does not satisfy Lindenstrauss' property B.

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Audrey Fovelle. 2024-02-29. Norm attaining operators into locally asymptotically midpoint uniformly convex Banach spaces. https://arxiv.org/abs/2402.19067

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