The free Banach lattices generated by ${\ell }_p$ and $c_0$

Antonio Avilés, Pedro Tradacete, Ignacio Villanueva

We prove that, when $2<p<\infty$, in the free Banach lattice generated by ${\ell }_p$ (respectively by $c_0$), the absolute values of the canonical basis form an ${\ell }_r$-sequence, wh…