New norm equalities and inequalities for Hankel operator matrices

DOI10.1007/s11785-021-01136-0OpenAlexW3183269431MaRDI QIDQ1981883

Watheq Bani-Domi, Mutaz Shatnawi, Fuad Kittaneh

Publication date: 7 September 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-021-01136-0

zbMATH Keywords

spectral radiusnorm inequalitynumerical radiusSchatten \(p\)-normoperator matrixweakly unitarily invariant normHankel operator matrixnorm equalityusual operator norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• A norm compression inequality for block partitioned positive semidefinite matrices
• Norm equalities and inequalities for operator matrices
• Norm inequalities for partitioned operators and an application
• Inequalities for trace norms of \(2\times 2\) block matrices.
• New trace norm inequalities for \(2\times 2\) blocks of diagonal matrices
• Spectral norm of random large dimensional noncentral Toeplitz and Hankel matrices
• Numerical radius inequalities for \(n \times n\) operator matrices
• Pinchings and Norms of Scaled Triangular Matrices
• New norm equalities and inequalities for certain operator matrices
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