A few remarks on the operator norm of random Toeplitz matrices

DOI10.1007/S10959-008-0201-7zbMath1191.15030arXiv0803.3111OpenAlexW1989988383MaRDI QIDQ966501

Radosław Adamczak

Publication date: 23 April 2010

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3111

zbMATH Keywords

operator normconcentration inequalitiesspectral normrandom Toeplitz matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Strong limit theorems (60F15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Random matrices (algebraic aspects) (15B52) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (10)

Stable super-resolution limit and smallest singular value of restricted Fourier matrices ⋮ Gaussian analytic functions of bounded mean oscillation ⋮ Nearly optimal central limit theorem and bootstrap approximations in high dimensions ⋮ MUSIC for single-snapshot spectral estimation: stability and super-resolution ⋮ Product of exponentials and spectral radius of random \(k\)-circulants ⋮ The top eigenvalue of the random Toeplitz matrix and the sine kernel ⋮ Remark on the norm of random Hankel matrices ⋮ A Data-Driven McMillan Degree Lower Bound ⋮ Spectral norm of circulant-type matrices ⋮ On the Operator Norm of Random Rectangular Toeplitz Matrices

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