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