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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On Dunford-Pettis operators that are Pettis-representable


Author: Elias Saab
Journal: Proc. Amer. Math. Soc. 85 (1982), 363-365
MSC: Primary 47B99; Secondary 46B20, 46G99
MathSciNet review: 656103
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Abstract: Let $ E$ be a Banach space. It is shown that if every Dunford-Pettis operator $ T:{L^1}[0,1] \to {E^ * }$ is Pettis-representable, then every operator $ T:{L^1}[0,1] \to {E^ * }$ is Pettis-representable.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0656103-9
PII: S 0002-9939(1982)0656103-9
Keywords: Dunford-Pettis operators, Pettis-representable operators
Article copyright: © Copyright 1982 American Mathematical Society