We deal with unconditional convergence of series and some special classes of subsets of the natural numbers, in the setting of l-groups. We present also a corollary, which is a consequence of the Basic Matrix Theorem for l-group-valued double sequences involving P-ideals. Among the used tools, there are some countability properties of P-ideals, which allow us to reconduct our context to the classical setting.
Unconditional convergence in lattice groups with respect to ideals
BOCCUTO, Antonio;
2010
Abstract
We deal with unconditional convergence of series and some special classes of subsets of the natural numbers, in the setting of l-groups. We present also a corollary, which is a consequence of the Basic Matrix Theorem for l-group-valued double sequences involving P-ideals. Among the used tools, there are some countability properties of P-ideals, which allow us to reconduct our context to the classical setting.File in questo prodotto:
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