On the asymptotic behavior of the eigenv
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A. BΓΆttcher; S. Grudsky; E. RamΓrez de Arellano
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Article
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2006
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John Wiley and Sons
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English
β 141 KB
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## Abstract Let __Ξ»__ be an eigenvalue of an infinite Toeplitz band matrix __A__ and let __Ξ»~n~__ be an eigenvalue of the __n__ Γ__n__ truncation __A~n~__ of __A__ . Suppose __Ξ»~n~__ converges to __Ξ»__ as __n__ β β. We show that generically the eigenspaces for __Ξ»~n~__ are onedimensional and contai