Complemented subspaces of Banach lattices
Functional Analysis
2025-07-15 v2
Abstract
We survey recent developments on the structure of complemented subspaces of Banach lattices, including in particular the construction of a complemented subspace of a -space which is not linearly isomorphic to any Banach lattice. Motivated by this, several natural questions and directions of future research are presented. We provide an approach to some of these problems using tools from the theory of free Banach lattices.
Keywords
Cite
@article{arxiv.2505.24084,
title = {Complemented subspaces of Banach lattices},
author = {David de Hevia and Pedro Tradacete},
journal= {arXiv preprint arXiv:2505.24084},
year = {2025}
}