Lipschitz-type bounds for the map \(A \to|A|\) on \({\mathcal L}({\mathcal H})\)

DOI10.1016/S0024-3795(02)00453-6zbMath1027.47007MaRDI QIDQ1863534

Laura Smithies, Alfred S. jun. Cavaretta

Publication date: 11 March 2003

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

zbMATH Keywords

Hilbert spacealgebra of bounded linear operatorsabsolute value map

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60) Positive linear operators and order-bounded operators (47B65)

Related Items (1)

Constructing a Lipschitz retraction from ℬ(ℋ) onto 𝒦(ℋ)

Cites Work

• Unnamed Item
• Unnamed Item
• Inequalities for the Schatten p-norm. V
• An inequality for trace ideals
• A source of counterexamples in operator theory and how to construct them
• First and second order perturbation bounds for the operator absolute value
• Some Commutator Estimates in the Schatten Classes
• On Lipschitz Functions of Normal Operators
• Bounds for Constants in Some Operator Inequalities in the Schatten Classes
• Continuity of the map $S \to \left| S \right|$ for linear operators

This page was built for publication: Lipschitz-type bounds for the map \(A \to|A|\) on \({\mathcal L}({\mathcal H})\)