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