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On the distribution of the singular values of Toeplitz matrices

✍ Scribed by Seymour V. Parter

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 658 KB
Volume: 80
Category: Article
ISSN: 0024-3795
DOI: 10.1016/0024-3795(86)90280-6

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## Abstract Let __λ__ be an eigenvalue of an infinite Toeplitz band matrix __A__ and let __λ~n~__ be an eigenvalue of the __n__ ×__n__ truncation __A~n~__ of __A__ . Suppose __λ~n~__ converges to __λ__ as __n__ → ∞. We show that generically the eigenspaces for __λ~n~__ are onedimensional and contai