Vladimir V. Peller

Professor

29B Line 14th (Vasilyevsky Island), 199178 Saint Petersburg, Russia

By appointment.

**04.1986** Doctor of Science (field: mathematical analysis)

**Thesis defense:** Leningrad Branch, Steklov Institute of Mathematics, Academy of Sciences of the USSR

**11.1978** Candidate of Science (field: mathematical analysis)

**Thesis defense:** Leningrad Branch, Steklov Institute of Mathematics, Academy of Sciences of the USSR

**Supervisor:** N.K. Nikol’skii

**06.1976** Graduation from Leningrad State University

My main publications are related to *functional analysis, operator theory, noncommutative function theory, stationary random processes. *

- V. V. Peller, “Hankel operators of class S_p and their applications (rational approximation, Gaussian processes, the problem of majorizing operators)”, Math. USSR-Sb., 41:4 (1982), 443–479.
- V.V. Peller, “Estimates of functions of power bounded operators on Hilbert space”, J. Oper. Theory, 7 (1982), 341-372.
- V. V. Peller, “Hankel operators in the perturbation theory of unitary and self-adjoint operators”, Funct. Anal. Appl., 19:2 (1985), 111–123.
- V. V. Peller, Hankel Operators and their Applications, Springer Monographs in Mathematics, Springer–Verlag, Berlin, 2003 , 784 pp.
- A. B. Aleksandrov, F. L. Nazarov, V. V. Peller, “Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals”, Adv. Math., 295 (2016), 1–52.

My main mathematical interests are Hankel and Toeplitz operators, matrix-valued and operator-valued functions, the theory of perturbations of linear operators, double and multiple operator integrals, trace formulae.