discipline |
Pure Mathematics |
subject |
Topological
vector spaces I |
lecturers |
János Kristóf |
credits |
2 |
period |
1 |
curriculum |
Characterization of linear topologies, projective limit of linear
topologies, locally compact topological vector spaces, metrisability
of a linear topology, theorem of Banach about open operators in case of Fréchet spaces, locally convex spaces, barreled spaces,
the inductive limit of locally convex topologies, geometric form of
Hahn-Banach theorem, separation of convex sets |
literature |
N. Bourbaki: Espaces
vectoriels topologiques H. H. Schaefer: Topological vector spaces |
form of tuition |
Lectures |
mode of assessment |
oral exam |