More Results on Singular Value Inequalities for Compact Operators

Wasim Audeh

Department of Basic Sciences, Petra University, Amman, Jordan.

DOI: 10.4236/alamt.2013.34006                

Abstract

The well-known arithmetic-geometric mean inequality for singular values, according to Bhatia and Kittaneh, says that if and are compact operators on a complex separable Hilbert space, then Hirzallah has proved that if are compact operators, then We give inequality which is equivalent to and more general than the above inequalities, which states that if are compact operators, then

Keywords

Compact Operator; Inequality; Positive Operator; Self-Adjoint Operator; Singular Value

Conflicts of Interest

The authors declare no conflicts of interest.

References

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