Bounding the Frobenius norm of a q-deformed commutator

Dariusz Chruściński, Gen Kimura, Hiromichi Ohno +1

For two $n\times n$ complex matrices $A$ and $B$, we define the $q$-deformed commutator as $[A,B{]}_q:=AB-qBA$ for a real parameter $q$. In this paper, we investigate a gen…