Biblioteca de la Universidad Complutense de Madrid

Some classes of multilinear operators on C(k) spaces

Impacto



Villanueva, Ignacio y Bombal Gordón, Fernando y Fernández Unzueta, M. (2001) Some classes of multilinear operators on C(k) spaces. Studia Mathematica, 148 (3). pp. 259-273. ISSN 0039-3223

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Resumen

The authors obtain in this paper a classification of projective tensor products of C(K) spaces, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces, or the verification of certain Banach space properties of the corresponding tensor product. The main tool used is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczy´nski’s (V) properties of the projective tensor product of Banach spaces. Finally, the paper ends with a study of the relationships between some classes of multilinear operators and their linearizations.


Tipo de documento:Artículo
Palabras clave:Classification of projective tensor product; Multilinear operators
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:12358
Depositado:07 Mar 2011 11:22
Última Modificación:03 Feb 2016 15:40

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