More Results on Singular Value Inequalities for Compact Operators

Wasim Audeh^{*}

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References

[1] R. Bhatia, “Matrix Analysis, GTM169,” Springer-Verlag, New York, 1997.
http://dx.doi.org/10.1007/978-1-4612-0653-8

[2] I. C. Gohberg and M. G. Krein, “Introduction to the Theory of Linear Nonselfadjoint Operators,” American Mathematical Society, Providence, 1969.

[3] R. Bhatia and F. Kittaneh, “The Matrix Arithmetic-Geometric Mean Inequality Revisited,” Linear Algebra and Its Applications, Vol. 428, 2008, pp. 2177-2191.
http://dx.doi.org/10.1016/j.laa.2007.11.030

[4] O. Hirzallah, “Inequalities for Sums and Products of Operators,” Linear Algebra and Its Applications, Vol. 407, 2005, pp. 32-42.
http://dx.doi.org/10.1016/j.laa.2005.04.017

[5] W. Audeh, F. Kittaneh, Singular value inequalities for compact operators, Linear Algebra and Its Applications, Vol. 437, 2012, pp. 2516-2522.
http://dx.doi.org/10.1016/j.laa.2012.06.032

[6] Y. Tao, “More Results on Singular Value Inequalities of Matrices,” Linear Algebra and Its Applications, Vol. 416, 2006, pp. 724-729.
http://dx.doi.org/10.1016/j.laa.2005.12.017

[7] X. Zhan, “Singular Values of Differences of Positive Semidefinite Matrices,” SIAM Journal on Matrix Analysis and Applications, Vol. 22, No. 3, 2000, pp. 819-823.
http://dx.doi.org/10.1137/S0895479800369840

[8] R. Bhatia and F. Kittaneh, “The Matrix Arithmetic-Geometric Mean Inequality Revisited,” Linear Algebra and Its Applications, Vol. 428, 2008, pp. 2177-2191.
http://dx.doi.org/10.1016/j.laa.2007.11.030