Boundedness and uniform convergence in B-duals.
Author
Swartz, Charles
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/75-8210.4067/S0716-09172010000100008
Abstract
Suppose E is a vector valued sequence space with operator valued ß-dual EßY . If the space E satisfies certain gliding hump conditions, we consider the connection between pointwise bounded subsets A of EßY and the uniform convergence of the elements of A. For linear operators our results contain results of Li, Wang and Zhong for the spaces c0(X) and lp(X).