On Banach Spaces of Large Density Character and Unconditional Sequences

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64274It is shown that any Banach space X of sufficiently large density contains an (infinite) unconditional sequence and a separable quotient. If a density of X is a weakly compact cardinal, then X contains an unconditional sequence of cardinality that is equal to the density of XLatex2eFunctional Analysis46B26 (Primary) 46B03, 46B04, 46B07, 46B20 03C65, 03C75 (Secondary)On Banach Spaces of Large Density Character and Unconditional Sequencestext