Geraldo Botelho

activity

20232026

p

-convergent operators and their adjoints

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

math.FA2026

A unifying approach to closed subspaces of linear and multilinear operators

Geraldo Botelho, Ariel Monção

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 Monção

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

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 $μ_{1}, \dots, μ_{n}, ν$ be arbitrary measures. Generalizi…

math.FA2025

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

Geraldo Botelho, Ariel Monção

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.FA2025

Arens extensions of disjointness preserving multilinear operators

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

First we give a counterexample showing that, unlike the second adjoint of a disjointness preserving linear operator, Arens extensions of disjointness preserving multilinear operato…

math.FA2024

Representation of sequence classes by operator ideals

Geraldo Botelho, Ariel S. Santiago

It is well known that weakly $p$ -summable sequences in a Banach space $E$ are associated to bounded operators from $ℓ_{p^{*}}$ to $E$ , and unconditionally $p$ -summable sequences i…

math.FA2023

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

Geraldo Botelho, Vinícius 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…

math.FA2023

Disjoint Dunford-Pettis-type properties in Banach lattices

Geraldo Botelho, José Lucas P. Luiz, Vinícius C. C. Miranda

New characterizations of the disjoint Dunford-Pettis property of order $p$ (disjoint $D P P_{p}$ ) are proved and applied to show that a Banach lattice of cotype $p$ has the disjoint $D…

math.FA2023★ 1 cited

Disjoint $p$ -convergent operators and their adjoints

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

First we give conditions on a Banach lattice $E$ so that an operator $T$ from $E$ to any Banach space is disjoint $p$ -convergent if and only if $T$ is almost Dunford-Pettis. Then w…

A unifying approach to closed subspaces of linear and multilinear operators

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

Compact positive multilinear operators on Banach lattices

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

Arens extensions of disjointness preserving multilinear operators

Representation of sequence classes by operator ideals

Banach lattices of homogeneous polynomials not containing c0​

Disjoint Dunford-Pettis-type properties in Banach lattices

Disjoint p-convergent operators and their adjoints

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

Disjoint $p$ -convergent operators and their adjoints