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On the boundedness of Hamiltonian operators

Authors: Tomas Ya. Azizov, Aad Dijksma and Irina V. Gridneva
Journal: Proc. Amer. Math. Soc. 131 (2003), 563-576
MSC (2000): Primary 47B50, 46C20, 47B44, 47B25
Published electronically: May 29, 2002
MathSciNet review: 1933348
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Abstract: 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

Aad Dijksma
Affiliation: Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, the Netherlands
MR Author ID: 58020

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
Article copyright: © Copyright 2002 American Mathematical Society