Title | Operator Theory and Analysis [electronic resource] : The M.A. Kaashoek Anniversary Volume Workshop in Amsterdam, November 12-14, 1997 / edited by H. Bart, A. C. M. Ran, I. Gohberg |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2001 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8283-5 |
Descript | XXXIX, 433 p. online resource |
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 mvfโs 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 -- 2. The Matrix Case -- 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 Nonโselfโadjoint 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