Some new results about uniform s-boundedness for regular l-group-valued measures are given. As a consequence, a Dieudonné-type theorem is given in the setting of l-groups. Observe that, in this paper, the concepts of (uniform) strong boundedness and regularity are intended similarly as in the classical setting and not necessarily with respect to a common order sequence. A technical lemma based on the Maeda-Ogasawara-Vulikh representation theorem is used.
Uniform s-boundedness and regularity for l-group-valued measures
BOCCUTO, Antonio;CANDELORO, Domenico
2011
Abstract
Some new results about uniform s-boundedness for regular l-group-valued measures are given. As a consequence, a Dieudonné-type theorem is given in the setting of l-groups. Observe that, in this paper, the concepts of (uniform) strong boundedness and regularity are intended similarly as in the classical setting and not necessarily with respect to a common order sequence. A technical lemma based on the Maeda-Ogasawara-Vulikh representation theorem is used.File in questo prodotto:
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