Weakly sequentially complete Orlicz spaces of vector functions. (Spanish: Espacios de Orlicz de funciones vectoriales débilmente secuencialmente completos).

Bombal Gordón, Fernando2023-06-212023-06-2119860034-0596https://hdl.handle.net/20.500.14352/64751Extending a theorem of S. Kwapień [Studia Math. 52 (1974), 187–188; the author proves that if E is a Banach space and (S,Σ,μ) is a probability space on which a Bernoulli sequence can be defined, then E contains a subspace isomorphic to c0 if and only if for each Orlicz function φ the space Lφ(S,μ,E) contains a subspace isomorphic to c0. Further, he proves that if E is a weakly sequentially complete Banach lattice, then Lφ(S,μ,E) is weakly sequentially complete for each φ satisfying a certain conditionspaWeakly sequentially complete Orlicz spaces of vector functions. (Spanish: Espacios de Orlicz de funciones vectoriales débilmente secuencialmente completos).journal articlehttp://www.rac.es/ficheros/Revistas/REV_20091030_00738.pdfhttp://www.rac.es/0/0_1.phprestricted access517.98Orlicz spacesGeometría diferencial1204.04 Geometría Diferencial