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Keywords: self-adjoint operators; normal operators; Hankel operators; Toeplitz operators; trace formulae; Schatten - von Neumann classes; operator Lipschitz functions
UDC: 513, 513.8, 513.881, 517.5, 517.53, 517.948, 517.98, 519.28, 517.51

Subject:

operator theory; perturbation theory; Hankel and Toeplitz operators; multiple operator integrals; stationary processes

Main publications:

1. V.V. Peller, “Operatory Gankelya v teorii vozmuschenii unitarnykh i samosopryazhennykh operatorov”, Funkts. analiz i ego pril., 19:2 (1985), 37–51
2. V.V. Peller, “Operatory Gankelya klassa S_p i ikh prilozheniya (ratsionalnaya approksimatsiya, gaussovskie protsessy, problema mazhoratsii operatorov”, Matem. sb., 113(155):4 (1980), 538–581
3. V.V. Peller, Hankel operators and their applications, Springer Monographs in Mathematics, Springer-Verlag, New York, 2003
4. A.B. Aleksandrov and V.V. Peller, “Operator Hölder–Zygmund functions”, Advances in Math, 224 (2010), 910–966
5. V.V. Peller, “The Lifshits–Krein trace formula and operator Lipschitz functions”, Proc. Amer. Math. Soc., 144 (2016), 5207–5215

Recent publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Michigan State University, Department of Mathematics
• Saint Petersburg State University
• Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow
• Leningrad Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences