Titlebook: Metric Constrained Interpolation, Commutant Lifting and Systems; C. Foias,A. E. Frazho,M. A. Kaashoek Book 1998 Springer Basel AG 1998 Ope

欺騙世家

蕁麻

Book 1998 the commutant lifting theorem from operator theory and the state space method from mathematical system theory. Initially the authors planned a number of papers treating nonstationary interpolation problems of Nevanlinna-Pick and Nehari type by reducing these nonstationary problems to stationary one

Innocence

affluent

Interpolation Problems for Operator-Valued Functionsnctions with operator arguments. Included are the Nevanlinna-Pick, Hermite-Fejér, Nehari, Sarason and Nudelman interpolation problems, in their classical and tangential form. Both one sided and two-sided versions are considered. Proofs of the main existence results will be given in the next chapter, based on the commutant lifting theorem.

現(xiàn)代

不能約

Nonstationary Interpolation Theoremsuantity which may be viewed as a discrete time parameter. In the next chapter time-varying systems will be used to give a motivation and a further interpretation of the role of this additional time parameter.

云狀

Nonstationary Systems and Point Evaluation of point evaluation. It will also be shown how one may convert a time-varying system into an infinite dimensional time-invariant system, which gives a first insight into the reduction techniques that will be used later. Finally, a nonstationary version of the filtering problem is connected to a nonstationary Sarason problem.

大方一點

發(fā)生

Central Commutant Liftingal properties of this central solution concern maximum entropy and mixed H. and L. 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.

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