Some results about uniform boundedness of a sequence of (finitely additive) group-valued measures are stated, provided the measures are pointwise bounded. In a first stage, the result is obtained without conditions on the algebra domain of the measures, but slightly strenghtening the notion of pointwise boundedness. Subsequently, the theorem is deduced relaxing boundedness to the classical notion, but requiring a kind of separation property on the domain.
Alcuni teoremi di uniforme limitatezza
CANDELORO, Domenico
1985
Abstract
Some results about uniform boundedness of a sequence of (finitely additive) group-valued measures are stated, provided the measures are pointwise bounded. In a first stage, the result is obtained without conditions on the algebra domain of the measures, but slightly strenghtening the notion of pointwise boundedness. Subsequently, the theorem is deduced relaxing boundedness to the classical notion, but requiring a kind of separation property on the domain.File in questo prodotto:
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