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Physical Sciences and Engineering Mathematics Algebra and Number Theory

Inequalities for sums and products of operators

Article ID Journal Published Year Pages File Type
9498253 Linear Algebra and its Applications 2005 11 Pages PDF
Abstract
Let Ai, i = 1, … , 4, be compact operators on a complex separable Hilbert space. We show that2sjA1A2∗+A3A4∗1/2⩽sjA1A2A3A4for j = 1, 2, … . From this we derive norm inequalities, and investigate conditions for equality.
Keywords
47B1047A3047A6347B15Singular valueCompact operatorPositive operatorInequalityUnitarily invariant normSchatten p-norm
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Inequalities for sums and products of operators
Authors
Omar Hirzallah,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
47B10
47A30
47A63
47B15
Singular value
Compact operator
Positive operator
Inequality
Unitarily invariant norm
Schatten p-norm
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
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Journal of Symbolic Computation
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