Literature Cited
V. P. Potapov, "On holomorphic matrix-functions bounded on the unit sphere," DAN SSSR,72, No. 5 (1950), pp. 849–852.
V. P. Potapov, The multiplicative structure of J-non-expansive matrix-functions [in Russian], Trudy Mosk. matem. obsh., 4 (1955), 125–236.
M. S. Livshits, On spectral expansion of linear non-self-adjoint operators, Matem. sb.,34, No. 1 (1954), 145–199.
Yu. P. Ginzburg, "On J-non-expansive operator-functions," DAN SSSR,117, No. 2 (1957), 171–173.
M. S. Brodskii, "On multiplicative representation of certain analytic operator-functions," DAN SSSR,138, No. 4 (1961), 751–754.
I. Ts. Gokhberg and M. G. Krein, "On multiplicative representation of characteristic functions of operators, near to unitary operators" DAN SSSR,164, No. 4 (1965), 732–735.
Yu. P. Ginzburg, "On multiplicative representations of bounded analytic operator-functions," DAN SSSR,170, No. 1 (1966), 23–26.
V. M. Brodskii, "On multiplicative representation of characteristic functions of operators of contractions," DAN SSSR,173, No. 2 (1967), 256–259.
Yu. P. Ginzburg, "On multiplicative representations of J-non-expansive of operator-functions," I, Matem. issl., Kishinev, 2, No. 2 (1967), 222–253.
Yu. P. Ginzburg, "On multiplicative representations of J-non-expansive operator-functions," II, Matem. issl., Kishinev, Vol. 2, No. 3 (1967).
Yu. P. Ginzburg, Multiplicative representations of analytic operator-functions and invariant subspaces of linear operators [in Russian], International Congress of Mathematics, Theses of short scientific reports, section 5, Moscow (1966), 42–43.
Yu. P. Ginzburg, "Multiplicative representations of operator-functions of bounded type," UMN XXII, No. 1 (1967), 165–167.
I. Ts. Gokhberg and M. G. Krein, "On triangular representations of linear operators and multiplicative representations of their characteristic functions," DAN SSSR (1967).
I. Ts. Gokhberg and M. G. Krein, "On a description of contraction operators similar to unitary operators," Funk. analiz., 1, No. 1 (1967), 38–60.
Yu. P. Ginzburg, "On divisors and minorants of operator-functions of bounded type," Matem. issl. Kishinev, Vol. 2, No. 4 (1967).
M. S. Brodskii and G. É. Kisilevskii, "A criterion of one-celledness of dissipative Volterra operators with nuclear imaginary components," Izv. AN SSSR, serya matem., 30, No. 6 (1966), 1213–1228.
B. Sz.-Nagy and C. Foias, "Sur les contractions de l'espace de Hilbert," Acta Scient. math. Szeged, 25 (1964) 12037; 26 (1965), 79–91; 26 (1965), 301–304.
B. Sz.-Nagy and C. Foias, "Decompositions spectrale des contractions presque unitaires," C. R. Acad. Sci. Paris, 262 (1966), 440–442.
L. E. Isaev, "On the theory of characteristic functions of nodal operators," UMZh (1967).
Yu. P. Ginzburg, "The maximum principle for J-non-expansive operator-functions and some of its corollaries," Izv. vuzov, Matematika, No. 1 (32) (1963), 42–53.
I. Ts. Gokhberg and M. G. Krein, Introduction to the Theory of Linear Non-self-adjoint operators [in Russian], Moscow, Nauka (1965).
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Odessa Pedagogical Institute. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 1, No. 3, pp. 9–23, July–September, 1967.
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Ginzburg, Y.P. Multiplicative representations and minorants of bounded analytic operator-functions. Funct Anal Its Appl 1, 180–192 (1967). https://doi.org/10.1007/BF01076902
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DOI: https://doi.org/10.1007/BF01076902