Biblioteca de la Universidad Complutense de Madrid

The Hereditary Dunford-Pettis Property For L1(E)

Impacto

Cembranos, Pilar (1990) The Hereditary Dunford-Pettis Property For L1(E). Proceedings of the American Mathematical Society, 108 (4). pp. 947-950. ISSN 0002-9939

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Resumen

A Banach Space E Is Said To Be Hereditarily Dunford-Pettis If All
Of Its Closed Subspaces Have The Dunford-Pettis Property. In This Note We Prove
That The Banach Space 11 (E), Of All Absolutely Summing Sequences In E With
The Usual Norm, Is Hereditarily Dunford-Pettis If And Only If E Is Also.


Tipo de documento:Artículo
Palabras clave:Mathematics, Applied; Mathematics
Materias:Ciencias > Matemáticas > Análisis matemático
Código ID:14902
Referencias:

1. P. Cembranos, The hereditary Dunford-Pettis property on C(K,E), Illinois J. Math. 31

(1987), 365-373.

2. J. Diestel, A survey of results related to the Dunford-Pettis property, Contemp. Math. 2 (1980),

15-60.

3. , Sequencesa nd series in Banach spaces, Springer-VerlagN, ew York, 1984.

4. H. Knaust and E. Odell, On co sequences in Banach spaces, (to appear in Israel J. Math.).

5. J. Lindenstrauss and L. Tzafriri, Classical Banach spaces I, Springer-Verlag, New York, 1977.

Depositado:19 Abr 2012 09:20
Última Modificación:03 Mar 2016 14:55

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