Universidad Complutense de Madrid
E-Prints Complutense

Completely continuous multilinear operators on C(K) spaces

Impacto

Downloads

Downloads per month over past year



Villanueva, Ignacio (2000) Completely continuous multilinear operators on C(K) spaces. Proceedings of the American Mathematical Society, 128 . pp. 793-801. ISSN 1088-6826

[img]
Preview
PDF
199kB

Official URL: http://www.ams.org/publications/journals/journalsframework/proc



Abstract

Given a k-linear 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 X-valued 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, Aron-Berner 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

Origin of downloads

Repository Staff Only: item control page