Integral operators on the product of C(K) spaces
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2001
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Elsevier
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Bombal Gordon, F. & Villanueva Díez, I. «Integral Operators on the Product of C(K) Spaces». Journal of Mathematical Analysis and Applications, vol. 264, n.o 1, diciembre de 2001, pp. 107-21. DOI.org (Crossref), https://doi.org/10.1006/jmaa.2001.7648.
Abstract
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.