On the Araki-Lieb-Thirring inequality
نویسنده
چکیده
In this paper we do two things. In Section 2 we obtain complementary inequalities. That is, for 0 ≤ r ≤ 1 we obtain upper bounds on Tr[ABA] (in terms of the quantity Tr[ABA]), and lower bounds for r ≥ 1. Such bounds may be useful, for example, to obtain estimates on the error incurred by going from Tr[ABA] to Tr[ABA]. Second, in Section 3, we find a generalisation of the ALT inequality to general matrices.
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تاریخ انتشار 2008