A unifying approach to closed subspaces of linear and multilinear operators

Fuente: arXiv
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Autores principales: Botelho, Geraldo, Monção, Ariel
Formato: Preprint
Publicado: 2026
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author Botelho, Geraldo
Monção, Ariel
author_facet Botelho, Geraldo
Monção, Ariel
contents 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 abstract results is followed by concrete applications, concerning classes of linear/multilinear operators already studied as well as new classes.
format Preprint
id arxiv_https___arxiv_org_abs_2605_23606
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A unifying approach to closed subspaces of linear and multilinear operators
Botelho, Geraldo
Monção, Ariel
Functional Analysis
46B42, 46B50, 47B65, 46G25, 47H60 47L22
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 abstract results is followed by concrete applications, concerning classes of linear/multilinear operators already studied as well as new classes.
title A unifying approach to closed subspaces of linear and multilinear operators
topic Functional Analysis
46B42, 46B50, 47B65, 46G25, 47H60 47L22
url https://arxiv.org/abs/2605.23606