Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic
نویسندگان
چکیده
منابع مشابه
The Dual Form of the Approximation Property for a Banach Space and a Subspace
Given a Banach space X and a subspace Y , the pair (X,Y ) is said to have the approximation property (AP) provided there is a net of finite rank bounded linear operators on X all of which leave the subspace Y invariant such that the net converges uniformly on compact subsets of X to the identity operator. The main result is an easy to apply dual formulation of this property. Applications are gi...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1971
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-40-3-239-243