An abstract Orlics-Pettis theorem and applications
Author
Ronglu, Li
Swartz, Charles
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/152010.4067/S0716-09172008000200003
Abstract
In this paper we establish two abstract versions of the classical Orlicz-Pettis Theorem for multiplier convergent series. We show that these abstract results yield known versions of the Orlicz-Pettis Theorem for locally convex spaces as well as versions for operator valued series. We also give applications to vector valued measures and spaces of continuous functions.