Fuglede-Putnam type theorems via the Aluthge transform

M. S. Moslehian, S. M. S. Nabavi Sales

Let $A=U|A|$ and $B=V|B|$ be the polar decompositions of $A\in \mathbb{B}({\mathcal{H}}_1)$ and $B\in \mathbb{B}({\mathcal{H}}_2)$ and let $Com(A,B)$ stand for the set of operators $X\…