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RIGHT SEMIDEFINITE EIGENVALUE PROBLEMS

Published online by Cambridge University Press:  10 December 2003

Paul Binding  and
Hans Volkmer
Paul Binding
Affiliation:
Department of Mathematics and Statistics, University of Calgary, University Drive NW, Calgary, Alberta T2N 1N4, Canada (binding@ucalgary.ca)
Hans Volkmer
Affiliation:
Department of Mathematical Sciences, University of Wisconsin-Milwaukee, PO Box 413, Milwaukee, WI 53201, USA (volkmer@uwm.edu)
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Abstract

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The relationships between various notions of completeness of eigenvectors and root vectors of the eigenvalue problem $Af=\lambda Bf$ are investigated. Here $A$ and $B$ are self-adjoint operators in Hilbert space with $B$ bounded and positive semidefinite, and with $A$ having compact resolvent.

AMS 2000 Mathematics subject classification: Primary 47A75. Secondary 34B24; 35P10

Keywords

generalized eigenvalue problemseigencurvesPontryagin spaces
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 3 , October 2003 , pp. 561 - 573
Copyright
Copyright © Edinburgh Mathematical Society 2003