01.01.01 (Real analysis, complex analysis, and functional analysis)
linear operators in spaces with indefinite scalar product; semigroups of linear bounded operators; inverse problems.
Properties of Jordan representations of dissipative operators acting on finite dimensional indefinite space and the structure of such operators have been investigated (with T. Ya. Azizov). Necessary and sufficient conditions of solvability on one step of an inverse eigenvalue problem for symmetri tridiagonal quadratic pencil have been obtianed. Criteria for the similarity of a maximal dissipative operator on a Pontryagin spase to a maxima Hilbert space dissipative operator (joint with T. Ya. Azizov, A. Dijksma, P. Jonas).
1989–1995 Student of Voronezh State University. 1995–1998 Post-graduate student of Voronezh State University. 1998 Candidate of phis.-math. Sciences. From 1996 to this day lecturer in the Military Institute of Radio-Electronics.
Participation in International Conferences: 1) International workshop in operator theory and applications (IWOTA), the Netherlands, Groningen, 1998. 2) Differential equations and related topics (Petrovskie chteniya), Russia, Moscow, 1998. 3) Differential equations and related topics (Petrovskie chteniya), Russia, Moscow, 2001.
Azizov T. Ya., Barsukov A. I., Dijksma A., Jonas P. Similarity between Krein Space Bicontractions and Hilbert Space Contractions // Operator theory: Adv. Appl., Birkhauser Verlag, v. 124, 2001, 109–129.