Central Commutant Lifting
This chapter is devoted to the commutant lifting theorem. A distinguished solution, called the central intertwining lifting, is singled out. The special properties of this central solution concern maximum entropy and mixed H∞ and L2 bounds. Explicit formulas for the central intertwining lifting are given in different settings. As a first application an explicit solution of the operator-valued Schur problem is given.
KeywordsOrthogonal Projection Invariant Subspace Toeplitz Operator Interpolation Problem Open Unit Disc
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