L. A. Garcia

activity

20242026

collaborators

3 papers

math.FA2026

Norm attainment for multilinear operators and polynomials on Banach Spaces and Banach lattices

Luis A. Garcia, JosÃ© Lucas P. Luiz, VinÃcius C. C. Miranda

We study norm attainment for multilinear operators and homogeneous polynomials between Banach spaces, as well as for positive multilinear operators between Banach lattices. We esta…

math.FA2025

Arens extensions of disjointness preserving multilinear operators on Riesz spaces and Banach lattices

Geraldo Botelho, Luis Alberto Garcia, VinÃcius C. C. Miranda

Let $E_{1}, \dots, E_{m}$ be (non necessarily Archimedean) Riesz spaces, let $F$ be an Archimedean Riesz space and let $A : E_{1} \times \dots \times E_{m} \to F$ be a regular disjo…

math.FA2024

Operators whose adjoints and second adjoints are almost Dunford-Pettis

Geraldo Botelho, Luis Alberto Garcia

First we characterize the Banach lattices E whose biduals have the positive Schur property by means of second adjoints of operators on E being almost Dunford-Pettis. Next we extend…