The hereditary Dunford-Pettis property for 𝑙₁(𝐸)

Cembranos, Pilar

doi:10.1090/S0002-9939-1990-1004415-6

The hereditary Dunford-Pettis property for $l\sb 1(E)$

Author: Pilar Cembranos
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
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Abstract: A Banach space 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 with the usual norm, is hereditarily Dunford-Pettis if and only if is also.

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