Abstract :
In this note, the following matrix trace inequality for products of Hermitian
matrices A and B,
tr AB.2 kFtr A2kB2k.,
is established, where k is an integer. The above inequality also partly answers a
conjecture in Bellman win ‘‘Proceedings of the 2nd International Conference on
General Inequalities’’ E. F. Beckenbach, Ed.., pp. 89]90, Birkh¨auser, Basel, 1980x.
