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arXiv · 2608.11098

On the weak operator Daugavet property and poor subspaces

Samir Hamad
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Abstract

We will provide an example of a Banach space with the Daugavet property which does not possess the weak operator Daugavet property. We will also show that every separable Banach space with the Daugavet property contains a non-poor subspace isomorphic to $\ell^1$ while noticing that every separable subspace of $L^\infty[0,1]$ is poor.

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Samir Hamad. 2026-08-11. On the weak operator Daugavet property and poor subspaces. https://arxiv.org/abs/2608.11098

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