Biblioteca de la Universidad Complutense de Madrid

Local structure and copies of c(0) and l(1) in the tensor product of Banach spaces

Impacto



Bombal Gordón, Fernando y Fernández Unzueta, M. y Villanueva, Ignacio (2004) Local structure and copies of c(0) and l(1) in the tensor product of Banach spaces. Boletín de la Sociedad Matemática Mexicana, 10 (2). pp. 195-202. ISSN 1405-213X



Resumen

We use well known properties of the tensor product of l(p)-spaces to study the local structure of projective and injective tensor products of Banach spaces. In particular we give a simple proof of the fact that the injective (resp. projective) tensor product of infinite dimensional Banach spaces contains the l(infinity)(n)'s (resp., l(1)(n)'s) uniformly complemented. We then refine the previous arguments to give criteria for obtaining copies (complemented or not) of c(0) in the injective tensor product of Banach spaces, and complemented copies of l(1) in the projective tenser product of Banach spaces.


Tipo de documento:Artículo
Palabras clave:Polynomials; Tensor products; Complemented copies; Banach spaces
Materias:Ciencias > Matemáticas > Análisis matemático
Código ID:14947
Depositado:24 Abr 2012 11:00
Última Modificación:11 Dic 2013 18:14

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