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On the singular values of Toeplitz matrices. (English) Zbl 0692.47028

A classical theorem of Szegö describes the asymptotic distribution of the eigenvalues of selfadjoint Toeplitz matrices \(T_ n(f)\). In case \(T_ n(f)\) is not necessarily selfadjoint, an analogous result is also known to hold. In this paper the author presents a refinement of the latter result and determines the limiting set of the singular values. Both results need appropriate hypothesis on the function f.
Reviewer: F.H.Vasilescu

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
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