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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On Dunford-Pettis operators that are Pettis-representable
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by Elias Saab
Proc. Amer. Math. Soc. 85 (1982), 363-365
DOI: https://doi.org/10.1090/S0002-9939-1982-0656103-9

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.
References
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Bibliographic Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 85 (1982), 363-365
  • MSC: Primary 47B99; Secondary 46B20, 46G99
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0656103-9
  • MathSciNet review: 656103