discipline |
Pure Mathematics |
subject |
Topological
vector spaces II |
lecturers |
János Kristóf |
credits |
2 |
period |
2 |
curriculum |
Bounded sets and the
characterization of normable spaces, bounded
operators, operator topologies, three theorems of Ascoli,
theorem of Alaoglu-Bourbaki, theorem of Banach-Alaoglu, Banach’s
theorem about equicontinue sets of operators,
theorem of Banach-Steinhaus, duality and polarity,
topologies compatible with duality, theorem of Mackey-Arens,
strong topology, infrabarreled spaces, weakly
continuous linear operators, bornologic and ultrabornologic spaces, semireflexive
and reflexive spaces, Montel spaces, applications
to function spaces |
literature |
N. Bourbaki: Espaces
vectoriels topologiques H. H. Schaefer: Topological vector spaces |
form of tuition |
Lectures |
mode of assessment |
oral exam |