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Two Parameter Asymptotic Spectra

Authors:	P A Binding P J Browne K Seddighi

Institution:	1. Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4 2. Department of Mathematics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 0W0 3. Department of Mathematics, University of Shiraz, Iran, 71454

Abstract:	The two parameter eigenvalue problem in Hilbert space is discussed for selfadjoint operators T. with discrete spectrum and bounded symmetric V_jk satisfying “uniform right definiteness”. Then there are countably many eigenvalues in ?². Results are given relating the set of limit points of ) to a set defined entirely by the V_jk.

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