2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229528We introduce and study certain type of variable exponent \ell^p spaces. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. We obtain some interesting examples of Banach spaces with a 1-unconditional basis.Functional Analysis46B45; 46B20text