On weak compactness in projective tensor products
On weak compactness in projective tensor products
Abstract We study the property of being strongly weakly compactly generated (and some relatives) in projective tensor products of Banach spaces. Our main result is as follows. Let $1 \lt p,q \lt \infty$ be such that $1/p+1/q\geq 1$. Let X (resp., Y) be a Banach space with a countable unconditional …