discipline

Pure Mathematics

subject

Geometric Functional Analysis

 

lecturers

János Kristóf, Tibor Gruber

credits

2

period

1

curriculum

extremal points of compact convex sets, theorem of Krein-Milman, positive Radon-measures on locally compact spaces, upper integral and lemma of Fatou, concentration and barycentre of a probabilistic Radon-measure on compact convex sets, Choquet’s theorem for metrisable compact convex sets, the max-min principle of Bauer, Choquet ordering on the set of probabilistic Radon-measures, the general theorem of Choquet about barycentral decomposition

 

 

literature

P. A. Meyer: Probability and Potentials

N. Bourbaki: Intégration

 

form of tuition

Lectures

mode of assessment

oral exam