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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A reflexive space of holomorphic functions in infinitely many variables
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by Raymundo Alencar, Richard M. Aron and Seán Dineen PDF
Proc. Amer. Math. Soc. 90 (1984), 407-411 Request permission

Abstract:

We show the existence of an infinite-dimensional Banach space $E$ such that $H(E)$, the space of holomorphic functions on $E$, endowed with the ${\tau _\omega }$ topology is reflexive.
References
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 407-411
  • MSC: Primary 46G20; Secondary 32A10
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0728358-5
  • MathSciNet review: 728358