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Titlebook: Operator Theory and Analysis; The M.A. Kaashoek An H. Bart,A. C. M. Ran,I. Gohberg Conference proceedings 2001 Springer Basel AG 2001 Hilbe

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Some Remarks on the Inverse Monodromy Problem for 2 x 2 Canonical Differential Systems,ifferential equations with a sym-plectic monodromy matrix which is inner with respect to the signature matrix . In this paper, this theorem is used to show that the inverse monodromy problem for such sys ems of equations has a unique normalized solution for monodromy matrices which are .-inner with
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Interpolation and Commutant Lifting for Multipliers on Reproducing Kernel Hilbert Spaces, ℌ... of analytic functions on the d-dimensional complex unit ball with reproducing kernel .. (.) = 1/(1 — (.)). More generally, if . is a positive kernel on a set Ω such that 1/. has 1 positive square, then there is an embedding . of Ω into the ball B. (where . is the number of negative squares of
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Generalized Nevanlinna Functions with Polynomial Asymptotic Behaviour at Infinity and Regular Pertuve squares. The class .. plays an important role in the extension theory of symmetric operators . acting on Pontryagin spaces. The additional assumption that one of the so-called Q-functions . of . has the asymptotic behaviour Q(.) = . as.with . a real polynomial, gives rise to a model, where the se
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Generalized Bezoutian, Factorization of Rational Matrix Functions and Matrix Quadratic Equations,these Bezoutians one can describe that precise nature of the well-known correspondence between solution of matrix quadratic equations (descrete and continuous) and factorization of certain associated rational matrix functions.
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A Note on Factorization of Analytic Matrix Functions,.(λ) with . inside Γ. Defining . ind..(λ) . 0, we give new proofs of the existence of spectral divisors of .(λ.) with respect toΓin the cases that either . 1 or Γ is a circle and, in both cases, there is no completeness hypothesis. Other results on the existence of Γ-spectral divisors (using com­ple
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Stability of Pseudospectral Factorizations,ctral factorizations is considered. Within the class, stable factorizations, i.e., those that persist after a small perturbation of a minimal realization of the original function, are fully described. The description is based on stability results concerning semidefinite invariant subspaces of dissip
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