Abstract. In this paper we consider the problem of the existence of an interwining lifting or extension for ($*$-)regular isometric (unitary) dilations of two bicontractions. It is known that in such a generality, the commutant lifting theorem fails (see [10]). We show that such a lifting exists if the intertwining operator doubly intertwines one of the components.
AMS Subject Classification
(1991): 47A20, 47A13
Keyword(s):
Bicontractions,
distinguished dilations,
*,
(-)regular dilations,
intertwining operators,
extensions
Received June 30, 1998, and in revised form September 9, 1999. (Registered under 2736/2009.)
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