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Linear and Multilinear Algebra Volume 70, 2022 - Issue 19
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Research Article

Singular value and norm inequalities for positive semidefinite matrices

Ahmad Al-Natoora Department of Mathematics, Isra University, Amman, Jordan
&
Fuad Kittanehb Department of Mathematics, The University of Jordan, Amman, JordanCorrespondence[email protected]
Pages 4498-4507 | Received 11 Dec 2020, Accepted 19 Jan 2021, Published online: 09 Feb 2021

References

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  • Horn RA, Johnson CR. Topics in matrix analysis. Cambridge: Cambridge University Press;1991.
  • Kittaneh F. Inequalities for commutators of positive operators. J Funct Anal. 2007;250:132–143.
  • Hirzallah O, Kittaneh F. Singular values, norms, and commutators. Linear Algebra Appl. 2010;432:1322–1336.
  • Davidson K, Power SC. Best approximation in C* −algebras. J Reine Angew Math. 1986;368:43–62.
  • Kittaneh F. Norm inequalities for certain operator sums. J Funct Anal. 1997;143:337–348.
  • AL-Natoor A, Audeh W, Kittaneh F. Norm inequalities of Davidson-Power type. Math Inequal Appl. 2020;23:689–697.
  • Bhatia R, Kittaneh F. On the singular values of a product of operators. SIAM J Matrix Anal Appl. 1990;11:272–277.
  • Hirzallah O, Kittaneh F. Inequalities for sums and direct sums of Hilbert space operator. Linear Algebra Appl. 2007;424:71–82.

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