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Singular values of products of positive operators: AZB and ZAB

Article ID Journal Published Year Pages File Type
9498255 Linear Algebra and its Applications 2005 7 Pages PDF
Abstract
These are sharp inequalities for singular values. More generally, for monotone pairs of positive operators A and B, there exist unitaries U and V such that2aba+bU|ZAB|U∗⩽|AZB|⩽a+b2abV|ZAB|V∗.
Keywords
15A6047A3047A63Singular valuesOperator inequalities
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Singular values of products of positive operators: AZB and ZAB
Authors
Jean-Christophe Bourin,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A60
47A30
47A63
Singular values
Operator inequalities
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
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Journal of Symbolic Computation
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