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.
@article{urn:eudml:doc:38677, title = {On the convergence and unconditional convergence of series of operators on Banach spaces.}, journal = {Extracta Mathematicae}, volume = {19}, year = {2004}, pages = {127-130}, zbl = {1071.47500}, mrnumber = {MR2072540}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38677} }
Aizpuru, A.; Gutiérrez-Dávila, A.; Sala, A. On the convergence and unconditional convergence of series of operators on Banach spaces.. Extracta Mathematicae, Tome 19 (2004) pp. 127-130. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38677/