Research activities

Our research activities focus on linear dynamics and the study of invariant subspaces.

• Linear dynamics is the theory of studying the properties of  orbits of linear and continuous operators on Banach spaces or Fréchet spaces. Persons who are interested in this theory could appreciate the books Linear Chaos and Dynamics of Linear Operators.
• The study of invariant subspaces consists in determining which operators T do not possess closed subspaces M (different to {0} and the whole space) so that T(M) is included in M and which spaces support such operators.

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Our unit is also associated with the following UMONS research institutes :