Second Root Vectors for Multiparameter Eigenvalue Problems of Fredholm Type

Binding, Paul; Kosir, Tomaz

doi:10.1090/S0002-9947-96-01470-5

Second Root Vectors for Multiparameter Eigenvalue Problems of Fredholm Type
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by Paul Binding and Tomaz Kosir

Trans. Amer. Math. Soc. 348 (1996), 229-249

DOI: https://doi.org/10.1090/S0002-9947-96-01470-5

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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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