On the convergence and unconditional convergence of series of operators on Banach spaces.

Aizpuru, A., Gutiérrez-Dávila, A., and Sala, A.. "On the convergence and unconditional convergence of series of operators on Banach spaces.." Extracta Mathematicae 19.1 (2004): 127-130. <http://eudml.org/doc/38677>.

@article{Aizpuru2004,
abstract = {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.},
author = {Aizpuru, A., Gutiérrez-Dávila, A., Sala, A.},
journal = {Extracta Mathematicae},
keywords = {Espacios de Banach; Operadores lineales; Operadores compactos; Series sumables; Convergencia; Banach space of compact linear maps; convergence; unconditional convergence; series of compact operators},
language = {eng},
number = {1},
pages = {127-130},
title = {On the convergence and unconditional convergence of series of operators on Banach spaces.},
url = {http://eudml.org/doc/38677},
volume = {19},
year = {2004},
}

TY - JOUR
AU - Aizpuru, A.
AU - Gutiérrez-Dávila, A.
AU - Sala, A.
TI - On the convergence and unconditional convergence of series of operators on Banach spaces.
JO - Extracta Mathematicae
PY - 2004
VL - 19
IS - 1
SP - 127
EP - 130
AB - 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.
LA - eng
KW - Espacios de Banach; Operadores lineales; Operadores compactos; Series sumables; Convergencia; Banach space of compact linear maps; convergence; unconditional convergence; series of compact operators
UR - http://eudml.org/doc/38677
ER -