Biblioteca de la Universidad Complutense de Madrid

Completely continuous multilinear operators on C(K) spaces

Impacto



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]
Vista previa
PDF
199kB

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



Resumen

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.


Tipo de documento:Artículo
Palabras clave:C(K) spaces, Completely continuous, Multilinear operators, Aron-Berner extension
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:11422
Depositado:28 Oct 2010 10:23
Última Modificación:06 Feb 2014 09:03

Sólo personal del repositorio: página de control del artículo