Abstract
We prove new norm equalities and inequalities for general \(n\times n\) Hankel operator matrices, including pinching type inequalities for weakly unitarily invariant norms.
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Communicated by Aurelian Gheondea.
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This article is part of the topical collection “Harmonic Analysis and Operator Theory” edited by H. Turgay Kaptanoglu, Aurelian Gheondea and Serap Oztop.
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Bani-Domi, W., Kittaneh, F. & Shatnawi, M. New Norm Equalities and Inequalities for Hankel Operator Matrices. Complex Anal. Oper. Theory 15, 95 (2021). https://doi.org/10.1007/s11785-021-01136-0
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DOI: https://doi.org/10.1007/s11785-021-01136-0
Keywords
- Norm equality
- Norm inequality
- Operator matrix
- Hankel operator matrix
- Weakly unitarily invariant norm
- Spectral radius
- Numerical radius
- Usual operator norm
- Schatten p-norm