On super Delta-points and the convex-DLD2P in absolute sums

Juan Guerrero-Viu; Joanna Markowicz

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arXiv · 2607.01875

On super Delta-points and the convex-DLD2P in absolute sums

Juan Guerrero-Viu·Joanna Markowicz

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Abstract

We partially answer two open questions concerning diameter two properties in absolute sums. First, we identify the conditions that a super $Δ$-point in an absolute sum of Banach spaces imposes on the coordinates. Secondly, we show that the convex diametral local diameter two property (convex-DLD2P) passes from an absolute sum $X\oplus_N Y$ to its factors whenever $N$ is not the $\ell_\infty$-norm.

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BibTeX RIS

Juan Guerrero-Viu, Joanna Markowicz. 2026-07-02. On super Delta-points and the convex-DLD2P in absolute sums. https://arxiv.org/abs/2607.01875

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