Prefer a chat interface with context about you and your work?
On subspaces of spaces with an unconditional basis and spaces of operators
A reflexive Banach space $E$ has an unconditional finite dimensional expansion of the identity iff $E$ has the approximation property and $E$ is a subspace of a space with an unconditional basis. More results are given in the non-reflexive case. The results are applied to show that the non-complementation of …