Some matrix rearrangement inequalities

Annali di Matematica Pura ed Applicata

Volumn 185, Issue SUPPL. 5, 2006, Pages

  Carlen, Eric ^a   Lieb, Elliott H ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748864271     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s10231-004-0147-z     Document Type: Article

References (10)

1. Almgren, F.J., Lieb, E.H.: Symmetric Decreasing Rearrangement is Sometimes Continuous. J. Am. Math. Soc. 2, 683-773 (1989)
2. Ball, K., Carlen, E., Lieb, E.H.: Sharp Uniform Convexity and Smoothness Inequalities for Trace Norms. Invent. Math. 115, 463-482 (1994)
3. Carlen, E., Lieb, E.H.: A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy. Advances in the Mathematical Sciences, AMS Translations, 189, Series 2 (1999), pp. 59-68.
4. Also in Inequalities, Selecta of Elliott H. Lieb, ed. by M. Loss, M.B. Ruskai. Springer 2002
5. Epstein, H.: Two Theorems of E. Lieb. Commun. Math. Phys. 31, 317-322 (1973)
6. p. Ark. Mat. 3, 239-244 (1956)
7. Horn, R.A., Johnson, C.R.: Topics in matrix analysis. Cambridge: Cambridge University Press 1991
8. Lieb, E.H., Loss, M.: Analysis, 2nd edition. Am. Math. Soc. 2001
9. Lieb, E.H., Thirring, W.: Inequalities for the Moments of the eigenvalues of the Schrodinger Hamiltonian and Their Realtion to Sobolev Inequalities. In: Studies in Mathematical Physics, pp. 269-303, ed. by E. Lieb. B. Simon, A. Wightman. Princeton: Princeton University Press 1976
10. p (1 ≤ p < ∞). Stud. Math. 50, 163-182 (1974)