A matrix subadditivity inequality for f(A + B) and f(A) + f(B)

Linear Algebra and Its Applications

Volumn 423, Issue 2-3, 2007, Pages 512-518

  Bourin, Jean Christophe ^a   Uchiyama, Mitsuru ^b  

^a Kyungpook National University   (South Korea)

^b SHIMANE UNIVERSITY   (Japan)

Author keywords

Hermitian operators; Operator inequalities; Symmetric norms

Indexed keywords

FUNCTIONAL ANALYSIS; PROBLEM SOLVING; THEOREM PROVING;

HERMITIAN OPERATORS; OPERATOR INEQUALITIES; SYMMETRIC NORMS;

LINEAR ALGEBRA;

EID: 34047143221     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2007.02.019     Document Type: Article

References (9)

1. Ando T., and Zhan X. Norm inequalities related to operator monotone functions. Math. Ann. 315 (1999) 771-780
2. J.S. Aujla, J.-C. Bourin, Eigenvalue inequalities for convex and log-convex functions, Linear Algebra Appl., in press, doi:10.1016/j.laa.2006.02.027.
3. Aujla J.S., and Silva F.C. Weak majorization inequalities and convex functions. Linear Algebra Appl. 369 (2003)
4. Bhatia R., and Kittaneh F. Norm inequalities for positive operators. Lett. Math. Phys. 43 (1998) 225-231
5. Bourin J.-C. A concavity inequality for symmetric norms. Linear Algebra Appl. 413 (2006) 212-217
6. Bourin J.-C. Hermitian operators and convex functions. J. Inequal. Pure Appl. Math. 6 5 (2005) Article 139
7. Kosem T. Inequalities between ∥ f (A + B) ∥ and ∥ f (A) + f (B) ∥. Linear Algebra Appl. 418 (2006) 153-160
8. Uchiyama M. Subadditivity of eigenvalue sums. Proc. Amer. Math. Soc. 134 (2006) 1405-1412
9. Zhan X. Matrix Inequalities. LNM vol. 1790 (2002), Springer, Berlin