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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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The Radon-Nikodym property in conjugate Banach spaces
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by Charles Stegall
Trans. Amer. Math. Soc. 206 (1975), 213-223
DOI: https://doi.org/10.1090/S0002-9947-1975-0374381-1

Abstract:

We characterize conjugate Banach spaces ${X^\ast }$ having the Radon-Nikodym Property as those spaces such that any separable subspace of $X$ has a separable conjugate. Several applications are given.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 206 (1975), 213-223
  • MSC: Primary 28A45; Secondary 46B99, 46G10
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0374381-1
  • MathSciNet review: 0374381