Do we have anything on Banach lattices, i.e. a Banach space equipped with a lattice ordering, such that

$\lvert x \rvert \le \lvert y \rvert \implies \lVert x \rVert \le \lVert x \rVert$,

with $\lvert x \rvert = x \vee -x$

Last updated: Dec 07 2023 at 16:21 UTC