1 edition of **The Commutant Lifting Approach to Interpolation Problems: OT`44 (Operator Theory: Advances and Applications)** found in the catalog.

The Commutant Lifting Approach to Interpolation Problems: OT`44 (Operator Theory: Advances and Applications)

Foias

- 383 Want to read
- 35 Currently reading

Published
**June 6, 2000**
by Birkhauser
.

Written in English

- Mathematical foundations,
- General,
- Science / General,
- Science,
- Interpolation,
- Lifting theory

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 632 |

ID Numbers | |

Open Library | OL12866387M |

ISBN 10 | 3764324619 |

ISBN 10 | 9783764324612 |

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The Commutant Lifting Approach to Interpolation Problems. Authors (view affiliations) Ciprian Foias; Some Classical Interpolation Problems. Ciprian Foias, Arthur E. Frazho. Arthur E. Frazho. Pages Inverse Scattering Algorithms for the Commutant Lifting Theorem.

Ciprian Foias, Arthur E. Frazho. Pages The Schur. Foias C., Frazho A.E. () Analysis of the Caratheodory Interpolation Problem. In: The Commutant Lifting Approach to Interpolation Problems. OT 44 Operator Theory: Advances and Applications, vol Author: Ciprian Foias, Arthur E. Frazho. A time-variant analogue of an interpolation problem equivalent to the relaxed commutant lifting problem is introduced and studied.

In a somewhat less general form the problem already appears in the analysis of the set of all solutions to the three chain completion : A. Frazho, S. ter Horst, M. Kaashoek. Foias and A. Frazho, The Commutant Lifting Approach to Interpolation Problems, OT 44, Birkhäuser-Verlag, Basel, Relaxed commutant lifting: an equivalent version and a new application.

Using the equivalence betw een relaxed commutant lifting and the H 2 interpolation problem deﬁned by ω, as describ ed in [9], Theorem fr om [11] provides the following Redheﬀer.

Read "Multidimensional Linear Feedback Control Systems and Interpolation Problems for Multivariable Holomorphic Functions, Multidimensional Systems and Signal Processing" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

H. Dym, J-Contractive Matrix Functions, Reproducing Kernel Hilbert Spaces and In- terpolation,CBMSRegionalConference Ser American Mathematical Society, Providence, [31] C.

Foias and A. Frazho, The Commutant Lifting Approach to Interpolation Prob- lems, OT 44, Birkhäuser-Verlag, Basel-Boston, [32] C. Interpolation problems for multipliers on the Drury-Arveson space A multivariable generalization of the Szeg˝ o kernel much studied of late is the positive kernel 1 𝑘𝑑 (𝝀, 𝜻) = 1 − 𝝀, 𝜻 { } on 𝔹𝑑 × 𝔹𝑑, where 𝔹𝑑 = 𝝀 = (𝜆1, 𝜆𝑑) ∈ ℂ𝑑: 𝝀, 𝝀 1 is the unit ball of the 𝑑.

The book of Francis [64] was the ﬁrst book on H ∞ -control and provides a good summary of the state of the subject in While there was a lot of work emphasizing the connection of the H ∞ -problem with interpolation and the related approach through J-spectral factorization ([26, 90, 91, 86, 87, 33, 24]), we should point out that the.