01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords:
spectral theory nonselfadjoint operator.
UDC:
517.98
Subject:
Spectral theory of nonselfadjoint operators.
Main publications:
Dual piecewise analytic bundle shift models of linear operators, J. Funct. Analysis 136, no. 2 (1996), 294–330.
Subnormal operators of finite type II.
Structure theorems, Revista Matematica Iberoamericana 14, no. 3 (1998), 623–681.
Linearly similar model of Sz.-Nagy–Foias type in a domain (in Russian), Algebra i Analiz, 15, no. 2 (2003), 180–227; English transl. in St. Petersburg Math. J. 15, no. 2 (2004), 289–321.
D. V. Yakubovich, “Linear-similar Sz.-Nagy–Foias model in a domain”, Algebra i Analiz, 15:2 (2003), 190–237; St. Petersburg Math. J., 15:2 (2004), 289–321
D. V. Yakubovich, “Local spectral multiplicity of a linear operator with respect to a measure”, Zap. Nauchn. Sem. POMI, 222 (1995), 293–306; J. Math. Sci. (New York), 87:5 (1997), 3971–3979
D. V. Yakubovich, “On the spectral theory of Toeplitz operators with a smooth symbol”, Algebra i Analiz, 3:4 (1991), 208–226; St. Petersburg Math. J., 3:4 (1992), 903–921
A. L. Vol'berg, V. V. Peller, D. V. Yakubovich, “A brief excursion into the theory of hyponormal operators”, Algebra i Analiz, 2:2 (1990), 1–38; Leningrad Math. J., 2:2 (1991), 211–243
1989
5.
D. V. Yakubovich, “Invariant subspaces of multiplication by $z$ of $E^p$ in a multiply connected domain”, Zap. Nauchn. Sem. LOMI, 178 (1989), 166–183; J. Soviet Math., 61:2 (1992), 2046–2056
D. V. Yakubovich, “Multiplication operators on special Riemann surfaces as models of
rational Toeplitz operators”, Dokl. Akad. Nauk SSSR, 302:5 (1988), 1068–1072; Dokl. Math., 38:2 (1989), 400–404
1987
7.
D. V. Yakubovich, “Similar models of Toeplitz operators”, Zap. Nauchn. Sem. LOMI, 157 (1987), 113–123
1985
8.
D. V. Yakubovich, “Invariant subspaces of weighted shift operators”, Zap. Nauchn. Sem. LOMI, 141 (1985), 100–143; J. Soviet Math., 37:5 (1987), 1323–1346
D. V. Yakubovich, “Conditions for unicellularity of weighted shift operators”, Dokl. Akad. Nauk SSSR, 278:4 (1984), 821–824
1993
10.
D. V. Yakubovich, “Kehe Zhu. “Operator theory in function spaces”. New York etc., Marcel Dekker. Inc., 1990. 258 p.”, Algebra i Analiz, 5:5 (1993), 178–203
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