Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that a non-negative Hamiltonian operator whose domain contains a maximal uniformly positive subspace is bounded.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47B50, 46C20, 47B44, 47B25

Retrieve articles in all journals with MSC (2000): 47B50, 46C20, 47B44, 47B25


Additional Information

Tomas Ya. Azizov
Affiliation: Department of Mathematics, Voronezh State University, 394693 Voronezh, Russia
Email: azizov@tom.vsu.ru

Aad Dijksma
Affiliation: Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, the Netherlands
Email: dijksma@math.rug.nl

Irina V. Gridneva
Affiliation: Department of Mathematics, Voronezh State University, 394693 Voronezh, Russia

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06565-6
PII: S 0002-9939(02)06565-6
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