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Models for noncontractions. (English) Zbl 0317.47004


MSC:

47A45 Canonical models for contractions and nonselfadjoint linear operators
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References:

[1] Ball, J., Unitary perturbations of contractions, (Dissertation (1973), University of Virginia)
[2] Beals, R., Topics in Operator Theory, (Chicago Lectures in Mathematics (1971), University of Chicago Press) · Zbl 0218.47002
[3] de Branges, L., Factorization and invariant subspaces, J. Math. Anal. Appl., 29, 163-200 (1970) · Zbl 0182.17301
[4] de Branges, L., Some Hilbert spaces of analytic functions, III, J. Math. Anal. Appl., 12, 149-186 (1965) · Zbl 0134.12002
[5] de Branges, L.; Rovnyak, J., Canonical models in quantum scattering theory, (Wilcox, C. H., Perturbation Theory and its Applications in Quantum Mechanics (1966), Wiley: Wiley New York) · Zbl 0203.45101
[6] de Branges, L.; Rovnyak, J., Square Summable Power Series (1966), Holt, Rinehart and Winston: Holt, Rinehart and Winston New York · Zbl 0153.39603
[7] Brodskiĭ, V. M., On operator nodes and characteristic functions, Soviet Math. Dokl., 12, 696-700 (1971) · Zbl 0231.47011
[8] Clark, D. N., On models for noncontractions, Acta Sci. Math. (Szeged), 36, 5-16 (1974) · Zbl 0284.47009
[9] Kužel, O. V., The characteristic operator function of an arbitrary bounded operator, Amer. Math. Soc. Transl., 90, 225-228 (1970) · Zbl 0206.13302
[10] \( \textsc{J. Rovnyak}H\); \( \textsc{J. Rovnyak}H\)
[11] Sz.-Nagy, B.; Foiaş, C., Harmonic Analysis of Operators on Hilbert Space (1970), Akademiai Kiado: Akademiai Kiado Budapest · Zbl 0201.45003
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