Geodesic
Summable families in nuclear groups
Studia Mathematica, Tome 105 (1993) no. 3, pp. 271-282

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-105-3-271-282
Keywords: nuclear groups, unconditional and absolute convergence

Wojciech Banaszczyk 1

1 
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Wojciech Banaszczyk. Summable families in nuclear groups. Studia Mathematica, Tome 105 (1993) no. 3, pp. 271-282. doi: 10.4064/sm-105-3-271-282

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