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Second Root Vectors for Multiparameter Eigenvalue Problems of Fredholm Type
Author(s):
Paul
Binding;
Tomaz
Kosir
Journal:
Trans. Amer. Math. Soc.
348
(1996),
229-249.
MSC (1991):
Primary 35P10, 47A13;
Secondary 35J55
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Abstract:
A class of multiparameter eigenvalue problems involving (generally) non self-adjoint and unbounded operators is studied. A basis for the second root subspace, at eigenvalues of Fredholm type, is computed in terms of the underlying multiparameter system. A self-adjoint version of this result is given under a weak definiteness condition, and Sturm-Liouville and finite-dimensional examples are considered.
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Additional Information:
Paul
Binding
Affiliation:
Department of Mathematics and Statistics, The University of Calgary, Calgary, Alberta, Canada, T2N 1N4
Email:
binding@acs.ucalgary.ca
Tomaz
Kosir
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada, B3H 3J5
Address at time of publication:
Department of Mathematics, University of Ljubljana, Jadranska 19, 61000 Ljubljana, Slovenia
Email:
tkosir@cs.dal.ca
DOI:
10.1090/S0002-9947-96-01470-5
PII:
S 0002-9947(96)01470-5
Received by editor(s):
April 4, 1994
Received by editor(s) in revised form:
January 9, 1995
Copyright of article:
Copyright
1996,
American Mathematical Society
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