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

Título inglés A note on the construction of measures taking their values in a Banach space with basis.
Título español Nota sobre la construcción de medidas que toman valores en un espacio de Banach con base.
Autor/es Congost Iglesias, María
Organización Dep. Mat. Estad. Esc. Téc. Super. Arquit. Barcelona, Barcelona, España
Revista 0210-7821
Publicación 1983, 7 (2): 157-161, 4 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés 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.
Clasificación UNESCO 120217
Palabras clave español Medidas ; Espacios de Banach
Código MathReviews MR0766698
Código Z-Math Zbl 0577.28004
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