A concavity inequality for symmetric norms

Linear Algebra and Its Applications

Volumn 413, Issue 1, 2006, Pages 212-217

  Bourin, Jean Christophe ^a  

^a UNIVERSITÉ DE CERGY PONTOISE   (France)

Author keywords

Eigenvalues; Hermitian operators; Jensen's inequality; Operator inequalities

Indexed keywords

CONTINUUM MECHANICS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; MATHEMATICAL OPERATORS;

EIGENVALUES; HERMITIAN OPERATORS; JENSEN'S INEQUALITY; OPERATOR INEQUALITIES;

MATRIX ALGEBRA;

EID: 29344432991     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.09.007     Document Type: Article

References (7)

1. R. Bhatia Matrix Analysis 1996 Springer Germany
2. J.-C. Bourin Convexity or concavity inequalities for Hermitian operators Math. Ineq. Appl. 7 4 2004 607 620
3. J.-C. Bourin, Compressions, Dilations and Matrix Inequalities, RGMIA monograph, Victoria University, Melbourne, 2004. Available from: < http://rgmia.vu.edu.au/monograph >.
4. J.-C. Bourin, Hermitian operators and convex functions, J. Math. Ineq., in press.
5. L.G. Brown, and H. Kosaki Jensen's inequality in semi-finite von Neumann algebras J. Operator Theory 23 1990 3 19
6. F. Hansen An operator inequality Math. Ann. 246 1980 249 250
7. F. Hansen, and G.K. Pedersen Jensen's operator inequality Bull. London Math. Soc. 35 2003 553 564