Department of Mathematics

Student Analysis and PDE

  •  The Golden-Thompson inequality
  •  10/04/2016
  •  4:10 PM - 5:00 PM
  •  C517 Wells Hall
  •  Rodrigo Matos, MSU

When A and B are two Hermitian matrices which commute, we have e^(A+B)=e^{A}e^{B}. The goal is to discuss some relationships in the non-commutative case, focusing on the Golden-Thompson inequality, and give applications such as e^A leq e^B implies A \leq B and Chernoff type inequalities for Random Matrices.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science