On the continuity of the absolute value map in the Schatten classes

DOI10.1016/0024-3795(89)90571-5zbMath0676.47007OpenAlexW1995736051MaRDI QIDQ1122758

Fuad Kittaneh

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90571-5

zbMATH Keywords

continuity of the absolute value map in the Schatten classes

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract operator algebras on Hilbert spaces (47L30)

Related Items (8)

Some inequalities for commutators and an application to spectral variation ⋮ On some operator inequalities ⋮ Norm inequalities for sums of positive operators. II ⋮ Norm inequalities for partitioned operators and an application ⋮ On Some Equivalent Metrics for Bounded Operators on Hilbert Space ⋮ Duality Mapping for Schatten Matrix Norms ⋮ Orthogonality of the range and the kernel of some elementary operators ⋮ Commutator inequalities for the Hilbert-Schmidt norm

Cites Work

• Inequalities for the Schatten p-norm. III
• Inequalities for the Schatten p-Norm. IV
• Inequalities for the Schatten p-norm. V
• On some perturbation inequalities for operators
• An inequality for Hilbert-Schmidt norm
• Lipschitz Continuity of Functions of Operators in the Schatten Classes
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