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The Hereditary Dunford-Pettis Property For L1(E)

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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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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
Deposited On:19 Apr 2012 09:20
Last Modified:13 Jun 2018 08:08

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