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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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On the boundedness of Hamiltonian operators
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by Tomas Ya. Azizov, Aad Dijksma and Irina V. Gridneva PDF
Proc. Amer. Math. Soc. 131 (2003), 563-576 Request permission


We show that a non-negative Hamiltonian operator whose domain contains a maximal uniformly positive subspace is bounded.
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Additional Information
  • Tomas Ya. Azizov
  • Affiliation: Department of Mathematics, Voronezh State University, 394693 Voronezh, Russia
  • Email:
  • Aad Dijksma
  • Affiliation: Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, the Netherlands
  • MR Author ID: 58020
  • Email:
  • Irina V. Gridneva
  • Affiliation: Department of Mathematics, Voronezh State University, 394693 Voronezh, Russia
  • Received by editor(s): March 13, 2001
  • Received by editor(s) in revised form: September 28, 2001
  • Published electronically: May 29, 2002
  • Additional Notes: This research was supported by grants NWO 047-008-008 and RFBR 99-01-00391
  • Communicated by: Joseph A. Ball
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 563-576
  • MSC (2000): Primary 47B50, 46C20, 47B44, 47B25
  • DOI:
  • MathSciNet review: 1933348