On the convergence and unconditionally convergence of series of operators on Banach spaces

Abstract

Estudiamos el teorema de Kalton sobre la convergencia incondicional de series de operadores compactos y usamos algunas técnicas matriciales para obtener suficiente condiciones, más débiles que la anterior, sobre la convergencia y la incondicionalidad convergencia de series de operadores compactos.

We study Kalton’s theorem on the unconditional convergence of series of compact operators and we use some matrix techniques to obtain sufficient conditions, weaker than the previous one, on the convergence and unconditional convergence of series of compact operators.