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.
2011
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/169943
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