The numerical radius and positivity of block matrices

DOI10.1016/j.laa.2022.10.009OpenAlexW4304775825MaRDI QIDQ2093529

Tanvi Jain, Rajendra Bhatia

Publication date: 8 November 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2022.10.009

zbMATH Keywords

dilationpositive operatornumerical radiusblock matrixpower inequality

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Dilations, extensions, compressions of linear operators (47A20) Positive linear operators and order-bounded operators (47B65)

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On the \(\rho\)-operator radii

Cites Work

• Shorted operators and the structure of operators with numerical radius one
• The Schur complement and its applications
• Vectorial Toeplitz operators and the Fejer-Riesz theorem
• Harmonic analysis of operators on Hilbert space
• The operator Fejer-Riesz theorem
• Matrix Completions, Norms, and Hadamard Products
• Numerical Ranges of Hilbert Space Operators
• Multiplicative properties of the numerical radius in operator theory.
• On the stability of difference schemes
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