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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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Automatic continuity for the unitary group
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by Todor Tsankov PDF
Proc. Amer. Math. Soc. 141 (2013), 3673-3680 Request permission

Abstract:

We show that every homomorphism from the infinite-dimensional unitary or orthogonal group to a separable group is continuous.
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Additional Information
  • Todor Tsankov
  • Affiliation: Institut de Mathématiques de Jussieu, case 7012, Université Paris 7, 75205 Paris Cedex 13, France
  • MR Author ID: 781832
  • Email: todor@math.jussieu.fr
  • Received by editor(s): September 6, 2011
  • Received by editor(s) in revised form: December 23, 2011
  • Published electronically: June 21, 2013
  • Additional Notes: This research was partially supported by the ANR network AGORA, NT09-461407.
  • Communicated by: Thomas Schlumprecht
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 3673-3680
  • MSC (2010): Primary 54H12
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11666-7
  • MathSciNet review: 3080189