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Representation of multilinear operators on C(k,x) spaces

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2002
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Real Academia Ciencias Exactas Físicas Y Naturales
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We present a Riesz type representation theorem for multilinear operators defined on the product of C(K,X) spaces with values in a Banach space. In order to do this we make a brief exposition of the theory of operator valued polymeasures.[RESUMEN]Probamos un teorema de representaci´on de tipo Riesz para operadores multilineales definidos en el producto de espacios C(K,X). Para poder hacer esto exponemos unas breves nociones de la teor´ıa de polimedidas con valores en un espacio de operadores.
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