The hereditary Dunford-Pettis property for $l_ 1(E)$
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- by Pilar Cembranos
- Proc. Amer. Math. Soc. 108 (1990), 947-950
- DOI: https://doi.org/10.1090/S0002-9939-1990-1004415-6
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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 ${l_1}(E)$, of all absolutely summing sequences in $E$ with the usual norm, is hereditarily Dunford-Pettis if and only if $E$ is also.References
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Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 947-950
- MSC: Primary 46B15; Secondary 46E40
- DOI: https://doi.org/10.1090/S0002-9939-1990-1004415-6
- MathSciNet review: 1004415