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Integral operators on the product of C(K) spaces

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Villanueva, Ignacio and 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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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X01976486


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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.


Item Type:Article
Uncontrolled Keywords:Integral multilinear operator; Representing polymeasure; Semivariation; Product of C(K) spaces; Weak compactness
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:11582
Deposited On:19 Nov 2010 12:09
Last Modified:06 Feb 2014 09:07

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