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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Root vectors for geometrically simple two-parameter eigenvalues


Authors: Paul Binding and Tomaz Kosir
Translated by:
Journal: Trans. Amer. Math. Soc. 356 (2004), 1705-1726
MSC (2000): Primary 35P10, 47A13; Secondary 35J55
Published electronically: January 6, 2004
MathSciNet review: 2031038
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Abstract | References | Similar Articles | Additional Information

Abstract: A class of two-parameter eigenvalue problems involving generally nonselfadjoint and unbounded operators is studied. A basis for the root subspace at a geometrically simple eigenvalue of Fredholm type is computed in terms of the underlying two-parameter system. Comparison with Faierman's work on two-parameter boundary value problems of Sturm-Liouville type is given as an application.


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Additional Information

Paul Binding
Affiliation: Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada T2N 1N4
Email: binding@ucalgary.ca

Tomaz Kosir
Affiliation: Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia
Email: tomaz.kosir@fmf.uni-lj.si

DOI: http://dx.doi.org/10.1090/S0002-9947-04-03542-1
PII: S 0002-9947(04)03542-1
Received by editor(s): June 15, 2001
Published electronically: January 6, 2004
Additional Notes: The first author’s research was supported by NSERC of Canada
The second author’s research was supported by the Ministry of Science and Technology of Slovenia
Article copyright: © Copyright 2004 American Mathematical Society