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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Holomorphic germs on Tsirelson’s space
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by Jorge Mujica and Manuel Valdivia
Proc. Amer. Math. Soc. 123 (1995), 1379-1384
DOI: https://doi.org/10.1090/S0002-9939-1995-1219730-5

Abstract:

We show that if K is an arbitrary compact subset of the Banach space constructed by Tsirelson, then the space $\mathcal {H}(K)$ of all holomorphic germs on K, with its natural inductive limit topology, is totally reflexive.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 1379-1384
  • MSC: Primary 46G20; Secondary 46E50
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1219730-5
  • MathSciNet review: 1219730