Geraldo Botelho

collaborators

5 papers

math.FA2026

A unifying approach to closed subspaces of linear and multilinear operators

Geraldo Botelho, Ariel MonÃ§Ã£o

We prove several abstract results giving general conditions under which subspaces of linear or multilinear operators on Banach spaces or Banach lattices are closed. Each of these a…

math.FA2025

L- and M-weakly compact multilinear operators and their linear adjoints

Geraldo Botelho, Ariel MonÃ§Ã£o

Let $X_{1}, \dots, X_{m}$ be Banach spaces and let $E_{1}, \dots, E_{m}, F$ be Banach lattices. Our main results read as follows: (i) The linear adjoint $A^{*}$ of a continuous multilinear…

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.FA2025

Compact positive multilinear operators on Banach lattices

Geraldo Botelho, Vinicius C. C. Miranda

Let $1 < p_{1}, \dots, p_{n} < \infty, 1 \leq q < \infty$ be such that $i = 1 \sum n \frac{1}{p _{i}} < \frac{1}{q}$ and let $I^¼_{1}, \dots, I^¼_{n}, I^½$ be arbitrary measures. General…

math.FA2025

On the duality of DW-compact operators and DW-DP operators

Geraldo Botelho, Ariel MonÃ§Ã£o

We give a necessary condition and a sufficient condition on the Banach lattices E and F so that an operator from E to F is DW-compact whenever its adjoint is DW-compact. We do the…