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A method for constructing triangular canonical models of commuting operators based on connections with algebraic curves. (English) Zbl 0472.47007


MSC:

47A45 Canonical models for contractions and nonselfadjoint linear operators
Full Text: DOI

References:

[1] Brodskii, M.S.: Triangular and Jordan representation of linear operators, Transl. Math. Monogr, 32, Am. Math. Soc. (1971), Providence, R.I.
[2] Douglas, R.G.: Canonical models, Math. Surveys 13 (1974). · Zbl 0336.47008
[3] Kravitsky, N.: On the discriminant function of two commuting nonselfadjoint operators, Integral Equations and Operator Theory (1980), Birkhäuser Verl. CH-4010 Basel (Switzerland). · Zbl 0441.47017
[4] Livsic, M.S. and Jancevich, A.A.: Theory of operator colligations in Hilbert space (1971). (Kharkov Univ. U.S.S.R., English transl., J. Wiley, New York, 1979).
[5] Livsic, M.S.: Operator waves in Hilbert space and related partial differential equations, Integral Equations and Operator Theory 2/1 (1979), Birkhäuser Verlag, CH-4010 Basel (Switzerland).
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