Villanueva Díez, 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
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 13:09 |
| Last Modified: | 06 Mar 2013 16:35 |
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