T. Figiel, William B. Johnson
Abstract
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
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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
Key concepts: Invariant subspace problem, Mathematics, Approximation property, Subspace topology, Banach space, Invariant subspace, Bounded function, Dual (grammatical number)