ENGLISH

The Commutant Lifting Approach to Interpolation Problems

By Prof. Ciprian Foias , Prof. Arthur E. Frazho (auth.)

Book information

Publisher
Birkhäuser Basel
Year
1990
ISBN
978-3-0348-7714-5, 978-3-0348-7712-1
DOI
10.1007/978-3-0348-7712-1
Language
english
Format
PDF
Filesize
44 MB (45908177 bytes)
Series
OT 44 Operator Theory: Advances and Applications 44
Edition
1
Pages
632\647
Time added
2014-01-18 08:00:00
generalScience

Description

I. Analysis of the Caratheodory Interpolation Problem.- II. Analysis of the Caratheodory Interpolation Problem for Positive-Real Functions.- III. Schur Numbers, Geophysics and Inverse Scattering Problems.- IV. Contractive Expansions on Euclidian and Hilbert Space.- V. Contractive One Step Intertwining Liftings.- VI. Isometric and Unitary Dilations.- VII. The Commutant Lifting Theorem.- VIII. Geometric Applications of the Commutant lifting Theorem.- IX. H? Optimization and Functional Models.- X. Some Classical Interpolation Problems.- XI. Interpolation as a Momentum Problem.- XII. Numerical Algorithms for H? Optimization in Control Theory.- XIII. Inverse Scattering Algorithms for the Commutant Lifting Theorem.- XIV. The Schur Representation.- XV. A Geometric Approach to Positive Definite Sequences.- XVI. Positive Definite Block Matrices.- XVII. A Physical Basis for the Layered Medium Model.- References.- Notation.

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