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Root vectors for geometrically simple two-parameter eigenvalues
Author(s):
Paul
Binding;
Tomaz
Kosir
Journal:
Trans. Amer. Math. Soc.
356
(2004),
1705-1726.
MSC (2000):
Primary 35P10, 47A13;
Secondary 35J55
Posted:
January 6, 2004
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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:
10.1090/S0002-9947-04-03542-1
PII:
S 0002-9947(04)03542-1
Received by editor(s):
June 15, 2001
Posted:
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
Copyright of article:
Copyright
2004,
American Mathematical Society
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