Suárez Granero, AntonioJiménez Sevilla, María Del MarMoreno, José Pedro2023-06-202023-06-202001-010025-584X10.1002/1522-2616(200101)221:1<75::AID-MANA75>3.0.CO;2-Thttps://hdl.handle.net/20.500.14352/58624Let η be a regular cardinal. It is proved, among other things, that: (i) if J(η) is the corresponding long James space, then every closed subspace Y ⊆ J(η), with Dens (Y) = η, has a copy of 2(η) complemented in J(η); (ii) if Y is a closed subspace of the space of continuous functions C([1, η]), with Dens (Y) = η, then Y has a copy of c0(η) complemented in C([1, η]). In particular, every nonseparable closed subspace of J(ω1) (resp. C([1,ω1])) contains a complemented copy of 2(ω1) (resp. c0(ω1)). As consequence, we give examples (J(ω1), C([1,ω1]), C(V ), V being the “long segment”) of Banach spaces X with the hereditary density property (HDP) (i. e., for every subspace Y ⊆ X we have that Dens (Y) = w∗ –Dens (Y ∗)), in spite of these spaces are not weakly Lindelof determined (WLD).engjournal articlehttp://onlinelibrary.wiley.com/doi/10.1002/1522-2616(200101)221:1%3C75::AID-MANA75%3E3.0.CO;2-T/abstracthttp://onlinelibrary.wiley.com/restricted access512Long James spacesNonseparable subspaces.Álgebra1201 Álgebra