%0 Journal Article
%T On basic sequences in Banach spaces
%J -
%D 1992
%R DOI Code: 10.1285/i15900932v12p245
%X Let X be a Banach space with separable. If X has a shrinking basis and Y is a closed subspace of which contains X, there exists a shrinking basis in X with two complementary subsequences and so that is a reflexive space and , where we are denoting by the weak-star closure of in . If is a sequence in X that converges to a point in for the weak-star topology,there is a basic sequence in such that is a quasi-reflexive Banach space of order one. Given a Banach space Z with basis it is also proved that every basic sequence in Z has a subsequence extending to a basis of Z
%U http://siba-ese.unisalento.it/index.php/notemat/article/view/1380