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Titlebook: Operator Theory and Interpolation; International Worksh Hari Bercovici,Ciprian I. Foias Conference proceedings 2000 Springer Basel AG 2000

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Classical Nevanlinna-Pick Interpolation with Real Interpolation Points,xistence and uniqueness of the solutions are considered. In the case of nonuniqueness a description of all solutions is given which generalizes Potapov’s formula. Our results are obtained in two ways: in Sections 1–5 through the theory of selfadjoint extensions of a symmetric relation in a Hilbert s
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On Classes of Realizable Operator-valued ,-functions,transformations of the transfer operator-valued functions (characteristic functions) of linear stationary conservative dynamic systems (Brodskii-Livsic rigged operator colligations). We specialize three subclasses of the class of all realizable operator-valued .-functions [.]. We give complete proof
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Kolmogorov Decompositions and the Realization of Time Dependent Systems, of Hermitian kernels as a main tool for the solution of this problem. The uniqueness property of the minimal realization is characterized. Applications are given to the realization of time independent systems, including the connection with the Azizov realization theorem and with de Branges-Rovnyak
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The Structured Norm of a Hilbert Space Operator with respect to a Given Algebra of Operators,cases where the underlying algebras are .(.), the algebra of all bounded linear operators on a Hilbert space ., and nest algebras. We point out the relationship between these results and those of Yu. Shmul’yan on mappings on the unit ball of operators by fractional linear transformations and extend
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On a Nonlinear Causal Commutant Lifting Theorem,t operators. This is accomplished by utilizing the causal dilation theory developed by C. Foias and A. Tannenbaum [.] and C. Foias and A. Tannenbaum and the author [., .], in order to guarantee the causality of the optimal interpolant derived in the nonlinear framework. This theory is moreover appli
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