Cembranos Diaz, Pilar (1990) The Hereditary Dunford-Pettis Property For L1(E). Proceedings of the American Mathematical Society, 108 (4). pp. 947-950. ISSN 0002-9939
![[img]](/style/images/fileicons/application_pdf.png) | PDF Restricted to Repository staff only until 2020. 126Kb |
Official URL: http://www.jstor.org/stable/2047951 .
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Mathematics, Applied; Mathematics |
| Subjects: | Sciences > Mathematics > Mathematical analysis |
| ID Code: | 14902 |
| References: | 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. |
| Deposited On: | 19 Apr 2012 11:20 |
| Last Modified: | 30 Nov 2012 18:37 |
Repository Staff Only: item control page
