English

A unifying approach to closed subspaces of linear and multilinear operators

Functional Analysis 2026-05-25 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2605.23606,
  title  = {A unifying approach to closed subspaces of linear and multilinear operators},
  author = {Geraldo Botelho and Ariel Monção},
  journal= {arXiv preprint arXiv:2605.23606},
  year   = {2026}
}

Comments

24 pages