Trace formulas for a class of Toeplitz-like operators

DOI10.1007/BF02761604zbMath0379.47019OpenAlexW2043734063MaRDI QIDQ1247583

Harry Dym

Publication date: 1977

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761604

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (10)

Trace formulas for blocks of Toeplitz-like operators ⋮ Representation theorems in finite prediction, with applications ⋮ Trace formulas for a class of Toeplitz-like operators II ⋮ Trace formulas for a class of truncated block Toeplitz operators ⋮ Asymptotic behavior of difference between a finite predictor and an infinite predictor for a weakly stationary stochastic process ⋮ An abstract version of a limit theorem of Szegoe ⋮ Trace formulas for a class of vector-valued Wiener-Hopf like operators. I ⋮ On approximating the spectrum of convolution-type operators. I. Wiener- Hopf matricial integral operators ⋮ Trace formulas for pair operators ⋮ Asymptotics for the partial autocorrelation function of a stationary process

Cites Work

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• A norm inequality for a 'finite-section' Wiener-Hopf equation
• On a theorem of Szegö, Kac, and Baxter
• Toeplitz forms and ultraspherical polynomials
• The strong Szegö limit theorem
• On a formula of Kac and Achiezer. II
• Application of de Branges spaces of integral functions of the prediction of stationary Gaussian processes
• Toeplitz matrices, translation kernels and a related problem in probability theory
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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