The Dvoretzky-Rogers theorem on Banach function spaces

P. Rueda, Sánchez Pérez Enrique Alfonso

2014

The Dvoretzky-Rogers theorem on Banach function spaces

Vector valued duality provides in the case of spaces of vector measure p-integrable functions a natural topology given by the convergence of the integrals. We prove a Dvoretzky-Rogers type theorem, showing that it works only in the case of vector measures with compact range.