The strong Nakano property in Banach lattices
Functional Analysis
2024-01-30 v1
Abstract
We study the strong Nakano property in Banach lattices with a special focus on free Banach lattices. We show that for every finite dimensional Banach space , the free Banach lattice has the strong Nakano property with a constant independent of the dimension. It is also shown that if has the strong Nakano property, then cannot contain subspaces isomorphic to neither nor .
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Cite
@article{arxiv.2401.15629,
title = {The strong Nakano property in Banach lattices},
author = {Youssef Azouzi and Asma Ben Rjeb and Pedro Tradacete},
journal= {arXiv preprint arXiv:2401.15629},
year = {2024}
}
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21 pages