Education

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

 

Scientific interests

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

Selected publications

1. 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.
2.  V.V. Peller, “Estimates of functions of power bounded operators on Hilbert space”, J. Oper. Theory, 7 (1982), 341-372.
3. V. V. Peller, “Hankel operators in the perturbation theory of unitary and self-adjoint operators”, Funct. Anal. Appl., 19:2 (1985), 111–123.
4.  V. V. Peller, Hankel Operators and their Applications, Springer Monographs in Mathematics, Springer–Verlag, Berlin, 2003 , 784 pp.
5. 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.

Additional Information

pellerv@gmail.com

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.