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An elementary note on asymptotic properties of Toeplitz and multilevel Toeplitz matrices

✍ Scribed by William F Trench


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
164 KB
Volume
382
Category
Article
ISSN
0024-3795

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