Publicado

1994-01-01

On exhaustive vector measures

Palabras clave:

Closed graph theorems, spaces Tr and Ar, barrelled spaces, finitely (countably) additive vector measure, bounded vector measure, exhaustive vector measure (es)

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Autores/as

  • Juan Carlos Ferrando Universidad Politécnica
  • Manuel López-Pellicer Universidad Politécnica

Certain conditions related with the De Wilde and Valdivia closed graph theorems enable us to guarantee the exhaustivity of certain bounded vector measures. To obtain some of the e conditions we show incidentally that  the bounded countably valued scalar function space with the supremum norm is ultrabornological.