Abstract
The central intertwining lifting is used to establish a maximum principle for the commutant lifting theorem. This maximum principle is used to prove that the central intertwining lifting is also a maximal entropy solution for the commutant lifting theorem, when T is a unilateral shift of finite multiplicity. The maximum principle is based on the residual spaces for intertwining liftings, and is motivated by Robinson's minimum energy delay principle for outer functions. A permanence property for the central intertwining lifting is also given.
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Foias, C., Frazho, A. & Gohberg, I. Central intertwining lifting, maximum entropy and their permanence. Integr equ oper theory 18, 166–201 (1994). https://doi.org/10.1007/BF01192458
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DOI: https://doi.org/10.1007/BF01192458