On the structure of a vector measure.
Baltasar Rodriguez-Salinas (1990)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Baltasar Rodriguez-Salinas (1990)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Haskell Rosenthal (1970)
Studia Mathematica
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Carlos Finol, Marek Wójtowicz (2005)
RACSAM
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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...
Fernando Bombal Gordón (1988)
Revista Matemática de la Universidad Complutense de Madrid
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Several conditions are given under which l1 embeds as a complemented subspace of a Banach space E if it embeds as a complemented subspace of an Orlicz space of E-valued functions. Previous results in Pisier (1978) and Bombal (1987) are extended in this way.
L. Drenowski (1976)
Studia Mathematica
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A. Pełczyński (1968)
Studia Mathematica
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James Hagler (1973)
Studia Mathematica
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Lech Drewnowski (1989)
Revista Matemática de la Universidad Complutense de Madrid
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J. C. Díaz (1987)
Collectanea Mathematica
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A. Granero, M. Jiménez Sevilla, J. Moreno (1998)
Studia Mathematica
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Let be the set of all closed, convex and bounded subsets of a Banach space X equipped with the Hausdorff metric. In the first part of this work we study the density character of and investigate its connections with the geometry of the space, in particular with a property shared by the spaces of Shelah and Kunen. In the second part we are concerned with the problem of Rolewicz, namely the existence of support sets, for the case of spaces C(K).