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.
DOI: 10.14232/actasm-019-775-2
AMS Subject Classification
(1991): 47A20
Keyword(s):
isometric dilation,
unitary dilation,
co-isometric extension,
commutant lifting,
Ando's dilation theorem
received 25.5.2019, revised 21.10.2019, accepted 28.10.2019. (Registered under 525/2019.)
|