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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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Principle of local reflexivity revisited
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by Eve Oja and Märt Põldvere PDF
Proc. Amer. Math. Soc. 135 (2007), 1081-1088 Request permission

Abstract:

We give, departing from Grothendieck’s description of the dual of the space of weak$^\ast$-weak continuous finite-rank operators, a clear proof for the principle of local reflexivity in a general form.
References
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Additional Information
  • Eve Oja
  • Affiliation: Institute of Pure Mathematics, Tartu University, J. Liivi 2, 50409 Tartu, Estonia
  • Email: eve.oja@ut.ee
  • Märt Põldvere
  • Affiliation: Institute of Pure Mathematics, Tartu University, J. Liivi 2, 50409 Tartu, Estonia
  • Email: mart.poldvere@ut.ee
  • Received by editor(s): April 6, 2005
  • Received by editor(s) in revised form: November 2, 2005
  • Published electronically: October 2, 2006
  • Additional Notes: This research was partially supported by Estonian Science Foundation Grant 5704
  • Communicated by: N. Tomczak-Jaegermann
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 1081-1088
  • MSC (2000): Primary 46B07, 46B20, 46B28
  • DOI: https://doi.org/10.1090/S0002-9939-06-08612-6
  • MathSciNet review: 2262909