内容

目次

On the Separation of Certain Spectral Components of Selfadjoint Operator Matrices.- 1. Introduction.- 2. Conditions for the Separation of Spectral Components.- 3. Example.- References.- A Coisometric Realization for Triangular Integral Operators.- 1. Introduction.- 2. Preliminaries and Notations.- 3. Resolvent Operators and Resolvent Equations.- 4. The State SpacesHL(S) andHR(S).- 5. The Coisometric Realization.- References.- Some Remarks on the Inverse Monodromy Problem for 2 x 2 Canonical Differential Systems.- 1. Introduction.- 2. Monodromy Matrices with Zero Type in the Upper Half Plane.- 3. Monodromy Matrices with Zero Type in the Lower Half Plane.- 4. Monodromy Matrices with Nonzero Type in Both Halfplanes.- 5. Reparametrizations.- 6. Three Classes of J-inner mvf’s and Some Examples.- 7. Another Parametrization.- References.- Interpolation and Commutant Lifting for Multipliers on Reproducing Kernel Hilbert Spaces.- 1. Introduction.- 2. The Multiplier Space forH(kd).- 3. Multipliers for Nevanlinna-Pick-type Kernels.- 4. Interpolation by Multipliers.- 5. The Commutant Lifting Theorem forMk(?,?*).- 6. Examples and Applications.- References.- Sums of Idempotents and Logarithmic Residues in Matrix Algebras.- 1. Introduction.- 2. Preliminaries.- 3. Matrix Algebras Generated by a Single Matrix.- 4 Rank, Trace and Decomposition of Matrices.- 5. Logarithmic Residues of Matrix and Fredholm Operator Valued Functions.- 6. The Algebra of Block Upper Triangular Matrices.- References.- Generalized Nevanlinna Functions with Polynomial Asymptotic Behaviour at Infinity and Regular Perturbations.- 1. Introduction.- 2. Preliminaries.- 3. Multiplicity of the Generalized Poles for the Sum of Nk -functions.- 4. Polynomial Behaviour at Infinity.- 5. The Subclasses Induced via Polynomial Asymptotics to Nk0.- 6. Spectral Characterizations of Regular Rank One Perturbations.- References.- Extensions of Matrix Valued Inner Products on Modules and the Inversion Formula for Block Toeplitz Matrices.- 0. Introduction.- 1. The Scalar Case.- 1.1 Extension of a Scalar Product.- 1.2 Connections with Prediction Theory and the Extension Theorem.- 1.3 Properties of the Extended Scalar Product.- 1.4 The Inversion Formula.- 2. The Matrix Case.- 2.1 Matrix Valued Inner Products on Modules.- 2.2 Extension of a Matrix-valued Inner Product.- 2.3 Properties of the Extended Matrix-valued Inner Product.- 2.4 The Gohberg-Heinig Formula.- References.- Linear Independence of Jordan Chains.- 1. Introduction.- 2. Linearly Independent Chains with Respect to a Sequence of Operators.- 3. Jordan Chains of Holomorphic Operator Functions.- 4. Right (spectral) Roots of a Regular Holomorphic Matrix Function.- References.- Weighted Nevanlinna-Pick Interpolation.- 0. Introduction.- 1. Preliminaries.- 2. Some State Space Existence Results.- 3. The Outer Spectral Factor Case.- 4. A State Space Solution.- 5. A State Space Computation for $$ \tilde B $$ and $$ {\tilde B_h} $$.- 6. The Case whenT QT*?Q.- References.- Effects of Small Delays on Stability and Control.- 1. Introduction.- 2. The Abstract Setting of the Problem.- 3. Difference Equations.- 4. Neutral Delay Differential Equations.- 5. Delayed Boundary Control in a Hyperbolic Equation.- References.- Generalized Bezoutian, Factorization of Rational Matrix Functions and Matrix Quadratic Equations.- 0. Introduction.- 1. Bezoutian of Rational Matrix Functions.- and Matrix Quadratic Equations.- 2. Generalized T-Bezoutian of Rational Matrix Functions.- 3. Discrete Quadratic Equation and Factorizations of Rational Matrix Functions.- References.- A Note on Factorization of Analytic Matrix Functions.- 1. Introduction.- 2. Preliminary Results.- 3. Spectral Divisors and the Casec(F) = 1.- 4. When ? is a Circle.- References.- Diagonalization of certain Block Operator Matrices and Applications to Dirac Operators.- 0. Introduction.- 1. Basic Propositions.- 2. Block Operator Matrices.- 3. The Self-adjoint Case.- 4. The Non—self—adjoint Case.- 5. Dirac Operators with Potential.- References.- Stability of Pseudospectral Factorizations.- 1. Introduction.- 2. Dissipative Matrices and their Invariant Subspaces.- 3. Functions of the Form Identity Plus a Contraction.- 4. Positive Real Functions.- References.- Factorization of Almost Periodic Matrix Functions of Several Variables and Toeplitz Operators.- 1. Introduction.- 2. Algebras of Almost Periodic Functions and Factorizations.- 3. Toeplitz Operators.- 4. Factorization of Sectorial Matrix Functions.- 5. Factorization of Hermitian Matrix Functions.- 6. One-sided Invertibility of Toeplitz Operators.- 7. Robustness and Continuity of Factorizations.- References.- Simultaneous Similarity of Pairs of Companions to their Transposes.- 1. Introduction.- 2. Companion and Bezoutian Matrices.- 3. Simultaneous Similarity.- References.- Conference Programm.- List of Participants.