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Abstract: The algebraic structure of V.P. Potapov-s Fundamental Matrix Inequality FMIis discussed and its interpolation meaning is analyzed. Functional model spacesare involved. A general Abstract Interpolation Problem is formulated whichseems to cover all the classical and recent problems in the field and thesolution set of this problem is described using the Arov-Grossman formula. Theextension theory of isometric operators is the proper language for treatinginterpolation problems of this type.



Author: Victor Katsnelson, Alexander Kheifets, Peter Yuditskii

Source: https://arxiv.org/







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