The near Radon-Nikodym property in Lebesgue-Bochner function spaces

Narcisse Randrianantoanina, Elias Saab

Let $X$ be a Banach space $E$ a Köthe function space that does not contain $c_0$. It is shown that the vector valued function space $E(X)$ has the Near Radon Nikodym property if an…