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Integral operators on the product of C(K) spaces


Villanueva, Ignacio y Bombal Gordón, Fernando (2001) Integral operators on the product of C(K) spaces. Journal of Mathematical Analysis and Applications, 264 (1). pp. 107-121. ISSN 0022-247X

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We study and characterize the integral multilinear operators on a product of C(K) spaces in terms of the representing polymeasure of the operator. Some applications are given. In particular, we characterize the Borel polymeasures that can be extended to a measure in the product ¾- algebra, generalizing previous results for bimeasures. We also give necessary conditions for the weak compactness of the extension of an integral multilinear operator on a product of C(K) spaces.

Tipo de documento:Artículo
Palabras clave:Integral multilinear operator; Representing polymeasure; Semivariation; Product of C(K) spaces; Weak compactness
Materias:Ciencias > Matemáticas > Análisis matemático
Código ID:11582

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Última Modificación:06 Feb 2014 09:07

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