Ando-Hiai and Golden-Thomspon inequalities

24 Mar 2020 · Sababheh M., Moradi H. R. ·

The original Ando-Hiai and Golden-Thompson inequalities present comparisons for the operator geometric mean $\sharp_v$ when $0\leq v\leq 1.$ Our main target in this article is to study these celebrated inequalities for means other than the geometric mean and for the geometric mean when $v\not\in [0,1].$