Commutator inequalities for the Hilbert-Schmidt norm

DOI10.1006/jmaa.2001.7791zbMath1005.47035OpenAlexW1988222890MaRDI QIDQ1604228

Omar Hirzallah, Fuad Kittaneh

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7791

zbMATH Keywords

positive operatorcommutatornormal operatorHilbert-Schmidt normunitary approximationinequality of Clarkson

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Commutators, derivations, elementary operators, etc. (47B47)

Cites Work

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• Non-commutative Clarkson inequalities for unitarily invariant norms.
• Inequalities for the Schatten p-Norm. IV
• On the continuity of the absolute value map in the Schatten classes
• An inequality for Hilbert-Schmidt norm
• Unitary approximation of positive operators
• Generalized s-numbers of \(\tau\)-measurable operators
• Matrix Young inequalities for the Hilbert-Schmidt norm
• Some Inequalities for Norms of Commutators
• On Lipschitz Functions of Normal Operators
• Integral representation formula for generalized normal derivations
• Means for matrices and comparison of their norms
• Some Metric Inequalities in the Space of Matrices

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