Villanueva, Ignacio (2000) Completely continuous multilinear operators on C(K) spaces. Proceedings of the American Mathematical Society, 128 . pp. 793801. ISSN 10886826

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Abstract
Given a klinear operator T from a product of C(K) spaces into a Banach space X, our main result proves the equivalence between T being completely continuous, T having an Xvalued separately omega*  omega* continuous extension to the product of the biduals and T having a regular associated polymeasure. It is well known that, in the linear case, these are also equivalent to T being weakly compact, and that, for k > 1, T being weakly compact implies the conditions above but the converse fails.
Item Type:  Article 

Uncontrolled Keywords:  C(K) spaces, Completely continuous, Multilinear operators, AronBerner extension 
Subjects:  Sciences > Mathematics > Functional analysis and Operator theory 
ID Code:  11422 
Deposited On:  28 Oct 2010 10:23 
Last Modified:  06 Feb 2014 09:03 
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