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Integral Operators on the Product of C(K) Spaces

✍ Scribed by Fernando Bombal; Ignacio Villanueva

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 131 KB
Volume: 264
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7648

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✦ Synopsis

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 σ-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.  2001 Elsevier Science

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