Vysoké učení technické v Brně, Fakulta stavební,
Ústav matematiky a deskriptivní geometrie
Vás zve na přednášku
Shadowing and hyperbolicity for linear delay difference equations
Středa 26. srpna 2026 ve 13:00
Abstract. In this talk, we consider one of the fundamental notions in dynamical systems, the shadowing of invertible operators on a Hilbert space. Although the problem of finding a spectral characterization for shadowing has been in the focus of the research for a long time, spectral criteria for shadowing are available in the literature only for rather special classes of invertible operators. In this talk, we give a complete spectral characterization for the shadowing of an arbitrary invertible operator T on a complex Hilbert space. It is shown that T has the shadowing property if and only if its right spectrum is disjoint from the unit circle in the complex plane. As a consequence, the shadowing property for T is equivalent to the uniform expansivity of its adjoint operator.
v zasedací místnosti ústavu (2. patro Z205), ul. Žižkova 17.
Přednášku přednese prof. Mihály Pituk,
Department of Mathematics, University of Pannonia, Egyetem út 10, 8200, Veszprém, Hungary
Přednáška je určena všem zájemcům o problematiku.
doc. Mgr. Irena Hinterleitner, Ph.D.
vedoucí ÚMDG
