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Central intertwining lifting, maximum entropy and their permanence (1994)

Foias, Ciprian ; Frazho, Arthur ; Gohberg, Israel

Springer

Integral equations and operator theory 18 (1994), S. 166-201

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ISSN: 1420-8989

Keywords: Primary 30E04 ; 47A20

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01192458

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