Nuclear groups form a class of abelian topological groups which contains LCA groups and nuclear locally convex spaces, and is closed with respect to certain natural operations. In nuclear locally convex spaces, weakly summable families are strongly summable, and strongly summable are absolutely summable. It is shown that these theorems can be generalized in a natural way to nuclear groups.
@article{bwmeta1.element.bwnjournal-article-smv105i3p271bwm,
author = {Wojciech Banaszczyk},
title = {Summable families in nuclear groups},
journal = {Studia Mathematica},
volume = {104},
year = {1993},
pages = {271-282},
zbl = {0815.43004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv105i3p271bwm}
}
Banaszczyk, Wojciech. Summable families in nuclear groups. Studia Mathematica, Tome 104 (1993) pp. 271-282. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv105i3p271bwm/
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