Abstract. We introduce the notion of $Q$-commuting operators which includes commuting operators. We prove a generalized version of the commutant lifting theorem and Ando's dilation theorem in the context of $Q$-commuting operators.
AMS Subject Classification
Ando's dilation theorem
received 25.5.2019, revised 21.10.2019, accepted 28.10.2019. (Registered under 525/2019.)