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. 107121. ISSN 0022247X

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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 
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Deposited On:  19 Nov 2010 12:09 
Last Modified:  06 Feb 2014 09:07 
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