Root vectors for geometrically simple two-parameter eigenvalues

Binding, Paul; Košir, Tomaž

doi:10.1090/S0002-9947-04-03542-1

Root vectors for geometrically simple two-parameter eigenvalues
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by Paul Binding and Tomaž Košir

Trans. Amer. Math. Soc. 356 (2004), 1705-1726

DOI: https://doi.org/10.1090/S0002-9947-04-03542-1

Published electronically: 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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