%0 Journal Article
%A Cembranos, Pilar
%T On Banach spaces that contain l1 as complemented subspace.(Spanish:Sobre los espacios de Banach que contienen a l1 como complementado).
%D 1981
%@ 0034-0596
%U https://hdl.handle.net/20.500.14352/64873
%X Let E and F be two Banach spaces, and let L(E,F) [WK(E,F)] denote the space of all continuous [weakly compact] linear operators from E to F. Obviously, if F is reflexive then L(E,F)=WK(E,F). The author proves that the equality L(E,F)=WK(E,F) implies the reflexivity of F if and only if E contains l1 as a complemented subspace. In the last part of the note she investigates when the space C(T,E) of all continuous functions on the compact space T with values in the Banach space E contains l1 as a complemented subspace.
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