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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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Bounded real-analytic submanifolds of Banach spaces
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by J. A. Jaramillo PDF
Proc. Amer. Math. Soc. 105 (1989), 126-128 Request permission

Abstract:

It is shown that, in contrast to the complex case, every paracompact finite-dimensional real-analytic manifold can be embedded as a bounded and closed real-analytic submanifold of every infinite-dimensional real Banach space.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 105 (1989), 126-128
  • MSC: Primary 58B12; Secondary 32C05, 32E10, 46G20
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0931740-9
  • MathSciNet review: 931740