3 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 be Banach spaces and let be Banach lattices. Our main results read as follows: (i) The linear adjoint of a continuous multilinear…
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…