Nonselfadjoint Operators and Related Topics Workshop on Operator Theory and Its Applications, Beersheva, February 24–28, 1992
Our goal is to find Grabner bases for polynomials in four different sets of expressions: 1 x- , (1 - x)-1 (RESOL) X, 1 x- (1 - xy)-1 (EB) X, , y-1, (1-yx)-1 y, (1_y)-1 (1-x)-1 (preNF) (EB) plus and (1 - xy)1/2 (1 - yx )1/2 (NF) (preNF) plus and Most formulas in the theory of the Nagy-Foias operator...
Other Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
Basel
Birkhäuser
1994, 1994
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Edition: | 1st ed. 1994 |
Series: | Operator Theory: Advances and Applications
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Relations of linking and duality between symmetric gauge functions
- 1. Introduction
- 2. Linked symmetric gauge functions
- 3. Quotient of symmetric gauge functions
- 4. Q-norms
- References
- Julia operators and coefficient problems
- 1. Introduction
- 2. Julia operators for triangular matrices
- 3. Multiplication transformations on power series
- 4. Extension problem for substitution transformations
- Appendix. Formal algebra
- References
- Shifts, realizations and interpolation, Redux
- 1. Introduction
- 2. Formulas and facts
- 3. R? variance
- 4. Realizations
- 5. Reproducing kernel spaces
- 6. H(S) spaces
- 7. A basic interpolation problem
- 8. Factorization and recursive methods
- 9. Characteristic functions
- References
- Arveson’s distance formulae and robust stabilization for linear time-varying systems.-1. Introduction
- 2. Preliminaries
- 3. Stabilization and proper representations
- 4. Robust stabilization: Proper representation uncertainty
- Joint spectrum and discriminant varieties of commuting nonselfadjoint operators
- 1. Introduction
- 2. Joint spectra of commuting operators with compact imaginary parts
- 3. Colligations and vessels
- 4. The discriminant varieties
- References
- On the differential structure of matrix-valued rational inner functions
- 1. Introduction and preliminaries
- 2. The differential structure of Inp
- 3. Charts using Schur algorithm
- 4. Conclusion
- References
- Conservative dynamical systems and nonlinear Livsic-Brodskii nodes
- 1. Conservative systems
- 2. Nonlinear Livsic-Brodskii nodes: models for a given dynamics up to energy preserving diffeomorphic change of variable
- 3. Other partionings of the cast of characters into knowns and unknowns
- References
- Orthogonal polynomials over Hilbert modules
- 1. Introduction
- 2. Orthogonalization with invertible squares
- 3. Preliminaries on inertia theorems for unilateral shifts
- 4. The main result
- References
- VII. Summary of practical rules you might use
- References
- Some global properties of fractional-linear transformations
- Preliminaries
- 1. The case of invertible plus-operators
- 2. The general case of a non-invertible operator U
- References
- Boundary values of Berezin symbols
- 1. Introduction
- 2. Compactness criterion
- 3. Continuous Berezin symbols
- 4. Two questions
- References
- Generalized Hermite polynomials and the bose-like oscillator calculus
- 1. Introduction
- 2. Generalized Hermite polynomials
- 3. The generalized Fourier transform
- 4. Generalized translation
- 5. The Bose-like oscillator
- References
- A general theory of sufficient collections of normswith a prescribed semigroup of contractions
- 1. Formulation of the problem
- 2. Notions
- 3. Formulations of results
- 4. Proofs of results
- References
- 5. Gap metric robustness
- Entire cyclic cohomology of Banach algebras
- 1. Background
- 2. Definitions
- 3. Results
- References
- The bounded real characteristic function and Nehari extensions
- 1. Introduction
- 2. Bounded real functions
- 3. Hankel operators
- 4. State space realizations
- 5. Suboptimal Nehari extensions
- References
- On isometric isomorphism between the second dual to the “small” Lipschitz space and the “big” Lipschitz space
- The Kantorovich-Rubinstein norm
- Completion of the space of measures in the KR norm
- Critical and noncritical metric spaces
- References
- Rules for computer simplification of the formulas in operator model theory and linear systems
- I. Introduction
- II. The reduction and basis algorithms
- III. Operator relations with finite basis for rules
- IV. Operator relations with infinite basis for rules
- V. A new algebra containing the functional calculus of operator theory
- VI. Gröbner basis property