A note on the construction of measures taking their values in a Banach space with basis.

Autores: Maria Assumpta Congost Iglesias
Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 7, Nº. 2, 1983, págs. 157-161
Idioma: inglés
Títulos paralelos:
- Nota sobre la construcción de medidas que toman valores en un espacio de Banach con base.
Enlaces
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Resumen
- If E is a Banach space with a basis {en}, n belonging to N, a vector measure m: a --> E determines a sequence {mn}, n belonging to N, of scalar measures on a named its components. We obtain necessary and sufficient conditions to ensure that when given a sequence of scalar measures it is possible to construct a vector valued measure whose components were those given. Furthermore we study some relations between the variation of the measure m and the variation of its components.