The Abstract Interpolation Problem and Commutant Lifting: A Coordinate-free Approach (original) (raw)
2000, Operator Theory and Interpolation
We present a coordinate-free formulation of the Abstract Interpolation Problem introduced by Katsnelson, Kheifets and Yuditskii in an abstract scattering theory framework. We also show how the commutant lifting theorem fits into this new formulation of the Abstract Interpolation Problem, giving a coordinate-free version of a result of Kupin.
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