E-Prints Complutense

The Hereditary Dunford-Pettis Property On C(K,E)

Impacto

Descargas

Último año

Cembranos, Pilar (1984) The Hereditary Dunford-Pettis Property On C(K,E). Illinois Journal of Mathematics, 91 (4). pp. 556-558. ISSN 0019-2082

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 2020.

717kB

URL Oficial: http://projecteuclid.org/euclid.ijm/1256069289


URLTipo de URL
http://projecteuclid.org/Institución


Resumen

The author studies the hereditary Dunford-Pettis property for spaces CX(K) of continuous Xvalued functions (X a Banach space) on a compact Hausdorff space K. First, she shows that CX(K) has the hereditary Dunford-Pettis property if and only if one of the following holds: (a) K is finite andX has the hereditary Dunford-Pettis property; (b) C(K) and c0(X) have the hereditary Dunford-Pettis property. Unwilling to give up here, the author provides an elegant characterization of when c0(X) has the hereditary Dunford-Pettis property. Since the paper was written, Nunez has provided an elegant example (based on work of Talagrand) of an X such that, while X is hereditarily Dunford-Pettis, c0(X) is not. Remarkable and satisfying!


Tipo de documento:Artículo
Palabras clave:Mathematics; Applied; Mathematics
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:14953
Depositado:24 Abr 2012 10:39
Última Modificación:03 Mar 2016 15:01

Descargas en el último año

Sólo personal del repositorio: página de control del artículo