A ≥ B ≥ 0 Ensures $${\left( {{B^{\frac{r}{2}}}{A^p}{B^{\frac{r}{2}}}} \right)^{\frac{1}{q}}} \geqslant {\left( {{B^{\frac{r}{2}}}{A^p}{B^{\frac{r}{2}}}} \right)^{\frac{1}{q}}}$$ for R ≥ 0, P ≥ 0, G ≥ 1 with (1 + R)Q ≥P + R and its Recent Appications
Publisher
Springer Netherlands
Reference52 articles.
1. A. Aluthge, On p-hyponormal operators for 0 < p < 1, Integral Equations and Operator Theory, 13 (1990), 307–315.
2. T. Ando On some operator inequality, Math. Ann., 279 (1987), 157–159.
3. T. Ando and FMiai Log majorization and complementary Golden-Thompson type inequalities, Linear Alg. and Its Appl., 197, 198 (1994), 113–131.
4. E. Bach and T. Furuta, Order preserving operator inequalities, J. Operator Theory, 19 (1988), 341–346.
5. E. Bach and T. Furuta, Counterexample to a question on operator equation T(H
1/n
T)n = K, Linear Alg. and Its Appl., 177 (1992), 157–162.