Further refinements of the Heinz inequality

R. Kaur, M. S. Moslehian, M. Singh +1

The celebrated Heinz inequality asserts that $2|||A^{1/2}X{B}^{1/2}|||\le |||A^{\nu }X{B}^{1-\nu }+A^{1-\nu }X{B}^{\nu }|||\le |||AX+XB|||$ for $X\in \mathbb{B}(\mathcal{H})$, $A,B\in \+$, every uni…