Hermitian operators and convex functions

Journal of Inequalities in Pure and Applied Mathematics

Volumn 6, Issue 5, 2005, Pages 1-6

  Bourin, Jean Christophe ^a  

^a UNIVERSITÉ DE CERGY PONTOISE   (France)

Author keywords

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

Indexed keywords

EID: 29344434266     PISSN: 14435756     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. R. BHATIA, Matrix Analysis, Springer, Germany, 1996.
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 (http://rgmia.vu.edu.au/ monograph)
4. L.G. BROWN AND H. KOSAKI, Jensen's inequality in semi-finite von Neuman algebras, J. Operator Theory, 23 (1990), 3-19.
5. F. HANSEN AND G.K. PEDERSEN, Jensen's operator inequality, Bull. London Math. Soc., 35 (2003), 553-564.