Toeplitz eigenvalues for Radon measures
type: Item
instance of: scholarly article
title: Toeplitz eigenvalues for Radon measures
zbMATH Open document ID: 0995.15021
DOI: 10.1016/S0024-3795(01)00345-7
author: E. E. Tyrtyshnikov
author: N. L. Zamarashkin
published in: Linear Algebra and its Applications
publication date: 2002-05-15T00:00:00Z
review text: Szegő and Szegő-like formulas describing the asymptotic behavior of the eigenvalues of Toeplitz matrices, generated by a sufficiently smooth real-valued symbol, are studied. It is shown that such Szegő-like formulae hold even for Toeplitz matrices generated by the Radon measures.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 28A25
Mathematics Subject Classification ID: 42A16
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 1741668
zbMATH Keywords: Toeplitz matrices
zbMATH Keywords: eigenvalues
zbMATH Keywords: Szegő formulas
zbMATH Keywords: Radon measures
zbMATH Keywords: asymptotic behavior
MaRDI profile type: Publication
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cites work: On the distribution of the singular values of Toeplitz matrices
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cites work: A unifying approach to some old and new theorems on distribution and clustering
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cites work: Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the generating function
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description: scientific article; zbMATH DE number 1741668