On relatively disjoint families of measures, with some applications to Banach space theory
Haskell Rosenthal (1970)
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Displaying similar documents to “On the structure of a vector measure.”
On relatively disjoint families of measures, with some applications to Banach space theory
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Sea X un espacio de Banach con una base incondicional de Schauder no numerable, y sea Y un subespacio arbitrario no separable de X. Si X no contiene una copia isomorfa de l(J) con J no numerable entonces (1) la densidad de Y y la débil*-densidad de Y* son iguales, y (2) la bola unidad de X* es débil* sucesionalmente compacta. Además, (1) implica que Y contiene subconjuntos grandes formados por elementos disjuntos dos a dos, y una propiedad similar se verifica para las bases incondicionales...
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