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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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Linking in Hilbert space
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by Martin Schechter and Kyril Tintarev PDF
Proc. Amer. Math. Soc. 134 (2006), 403-410 Request permission

Abstract:

We present the most general definition of the linking of sets in a Hilbert space and, drawing on the theory given in earlier papers by Schechter and Tintarev, give a necessary and sufficient geometric condition for linking when one set is compact.
References
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Additional Information
  • Martin Schechter
  • Affiliation: Department of Mathematics, University of California, Irvine, California 92697-3875
  • Email: mschecht@math.uci.edu
  • Kyril Tintarev
  • Affiliation: Department of Mathematics, Uppsala University, P.O. Box 480, 751 06 Uppsala, Sweden
  • MR Author ID: 172775
  • ORCID: 0000-0002-7484-2900
  • Email: kyril.tintarev@math.uu.se
  • Received by editor(s): August 7, 2004
  • Published electronically: August 25, 2005
  • Additional Notes: The first author was supported in part by an NSF grant
    The research was done while the second author was visiting UC Irvine; supported in part by a grant from the Swedish Research Council.
  • Communicated by: Jonathan M. Borwein
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 403-410
  • MSC (2000): Primary 35J65, 58E05, 49J27
  • DOI: https://doi.org/10.1090/S0002-9939-05-08217-1
  • MathSciNet review: 2176008