Some new numerical radius and Hilbert-Schmidt numerical radius inequalities for Hilbert space operators

DOI10.7153/jmi-2023-17-19OpenAlexW4361760803MaRDI QIDQ6158036

Chaojun Yang, Ming-Hua Xu

Publication date: 31 May 2023

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2023-17-19

zbMATH Keywords

Cartesian decompositionnumerical radiusHilbert-Schmidt numerical radius

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Numerical range, numerical radius (47A12) Operators on Hilbert spaces (general) (47B02)

Cites Work

• Hermite-Hadamard's type inequalities for operator convex functions
• New estimates on numerical radius and operator norm of Hilbert space operators
• Upper and lower bounds for the numerical radius with an application to involution operators
• Norm inequalities for positive operators
• Refined and generalized numerical radius inequalities for \(2 \times 2\) operator matrices
• Better bounds on the numerical radii of Hilbert space operators
• Hilbert-Schmidt numerical radius inequalities for operator matrices
• Sharpening some classical numerical radius inequalities
• Numerical radius inequalities for Hilbert space operators
• More accurate numerical radius inequalities (I)
• Further numerical radius inequalities
• Some inequalities involving Hilbert-Schmidt numerical radius on 2 x 2 operator matrices
• Operator inequalities via geometric convexity
• More accurate numerical radius inequalities (II)
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