Author

Geivison Ribeiro

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Preprint Sep 2026

The weak maximizing property is not inherited by subspaces of the domain

We construct a separable reflexive Banach lattice $X$ and a closed sublattice $E\subseteq X$ such that every bounded linear operator from $X$ into $\ell_2$ is compact, whereas there exists a positive operator from $E$ into $\ell_2$ that does not attain its norm and admits a positive maximizing sequence converging weakl...

Alessandro Costa, Vinícius C. C. Miranda, Geivison Ribeiro · 0 citations

Preprint Aug 2026

Optimality in a Multilinear Extension of Kwapie\'n's Theorem

Bayart, Pellegrino and Rueda proved that every continuous $m$-linear operator from $(\ell_1)^m$ into $\ell_p$ is absolutely $(r_{m,p};1)$-summing, for explicit exponents $r_{m,p}$. The optimality of these exponents was known for $2\le p\le\infty$. We prove optimality in the remaining range $1\le p<2$. Our argument is f...

Luis Miguel Castaño Marín, D. Núñez-Alarcón, Geivison Ribeiro et al. · 0 citations