Abstract
The two parameter eigenvalue problem
in Hilbert space is discussed for selfadjoint operators T. with discrete spectrum and bounded symmetric Vjk satisfying “uniform right definiteness”. Then there are countably many eigenvalues
in ℝ2. Results are given relating the set of limit points of
) to a set defined entirely by the Vjk.
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This research was supported by the first two authors’ Operating Grants from NSERC of Canada, and was carried out while the third author was on sabbatical leave at the University of Calgary
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Binding, P.A., Browne, P.J. & Seddighi, K. Two Parameter Asymptotic Spectra. Results. Math. 21, 12–23 (1992). https://doi.org/10.1007/BF03323069
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DOI: https://doi.org/10.1007/BF03323069