A trace class operator inequality

作者:Liu Lei*
来源:Journal of Mathematical Analysis and Applications, 2007, 328(2): 1484-1486.
DOI:10.1016/j.jmaa.2006.04.092

摘要

In this note, we generalize the inequality about the trace of positive semidefinite matrix tr(AB)(k) <= (tr A)(k) (tr B)(k) to Hilbert space, and obtain a relevant inequality about positive trace class operator.