𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Log majorization and complementary Golden-Thompson type inequalities

✍ Scribed by Tsuyoshi Ando; Fumio Hiai

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
819 KB
Volume
197-198
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Reverse inequality to Golden–Thompson ty
Reverse inequality to Golden–Thompson type inequalities: Comparison of and
✍ Jean-Christophe Bourin; Yuki Seo πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 111 KB

Let A and B be n-by-n Hermitian matrices. Then Tr e A e B S(Ξ±)Tr e A+B where Ξ± is the condition number of e A and S(t) is the Specht ratio of the reverse arithmetic-geometric mean inequality. It is a sharp reverse result to the Golden-Thompson inequality. This can be extended to each eigenvalue. Eq

Miranda and Thompson's trace inequality
Miranda and Thompson's trace inequality and a log convexity result
✍ Tin-Yau Tam πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 873 KB

A geometric proof of Miranda and Thompson's trace inequality is given, via Thompson's singular-value-diagonal-element inequalities. Miranda and Thompson's trace inequality is associated with the unitary group. We then deal with the cases associated with the orthogonal group and the special unitary g