The Dvoretzky-Rogers theorem on Banach function spaces

Autores UPV
Año
CONGRESO The Dvoretzky-Rogers theorem on Banach function spaces

Abstract

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.