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Asymptotic behavior of the Toeplitz determinant

✍ Scribed by M. S. Ginovyan

Publisher
Springer US
Year
1984
Tongue
English
Weight
303 KB
Volume
24
Category
Article
ISSN
1573-8795

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On the asymptotic behavior of the eigenv
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✍ A. BΓΆttcher; S. Grudsky; E. RamΓ­rez de Arellano πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 141 KB πŸ‘ 1 views

## 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†’ ∞. We show that generically the eigenspaces for __Ξ»~n~__ are onedimensional and contai