Geraldo Botelho

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20242026

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6 papers · 1 filter

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…

math.FA2024

Banach lattices of homogeneous polynomials not containing $c_{0}$

Geraldo Botelho, VinÃcius C. C. Miranda, Pilar Rueda

First we develop a technique to construct Banach lattices of homogeneous polynomials. We obtain, in particular, conditions for the linear spans of all positive compact and weakly c…

A unifying approach to closed subspaces of linear and multilinear operators

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

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

Compact positive multilinear operators on Banach lattices

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

Banach lattices of homogeneous polynomials not containing c0​

Banach lattices of homogeneous polynomials not containing $c_{0}$