Home  /  Le Matematiche  /  Vol: 42 Núm: 1 Par: 0 (2086)  /  Article
ARTICLE
TITLE

Riesz spaces valued submeasures and application to group-valued finitely additive measures

SUMMARY

As a consequence of a general Domination Theorem given for a subadditive measure with values in a Riesz space, we prove the arcwise connectedness of the range of a L.C.V.T.S.-valued and of a group-valued finitely additive measure.

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René Erlín Castillo Castillo, Nelson Merentes, Eduard Trousselot    

We introduce the notion of bounded F-variation in the sense of L^-norm. We obtain a Riesz type result for functions of bounded F-variation in the mean. We also show that if the Nemytskii operator act on the bounded F-variation in the mean spaces into its... see more

Revista: Proyecciones