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oai:docta.ucm.es:20.500.14352/647462023-08-10T22:24:37Zcom_20.500.14352_14col_20.500.14352_15

Bombal Gordón, Fernando 2023-06-21T02:03:44Z 2023-06-21T02:03:44Z 1980 0034-0596 https://hdl.handle.net/20.500.14352/64746 http://www.rac.es/4/4_7_1.php?pid=Revistas:REV_20091030_00408&pageNum=1 http://www.rac.es/0/0_1.php Letting X be a Banach space, (S,μ,Σ) a space of finite measure, 1<p<∞ , and L p (μ,X) the space of functions from S into X with |f| p integrable, the author studies the dual pair (L p (μ,X),L q (μ,X ′ )). He gives necessary conditions, which are also sufficient if X has the Radon-Nikodým property, in order that a subset of L p (μ,X) be σ(L p (μ,X),L q (μ,X ′ )) -relatively sequentially compact and shows that L p (μ,X) is σ(L p (μ,X),L q (μ,X ′ )) sequentially complete for every finite measure μ if and only if X is weakly sequentially complete and has the Radon-Nikodým property. spa restricted access On the space Lp(μ,X). (Spanish: Sobre el espacio Lp(μ,X)). journal article