Isometric factorization of vector measures and applications to spaces of integrable functions

Olav Nygaard, José Rodríguez

Let $X$ be a Banach space, $\Sigma$ be a $\sigma$-algebra, and $m:\Sigma \to X$ be a (countably additive) vector measure. It is a well known consequence of the Davis-Figiel-Johnson-Pelczýnski fact…