Learning outcomes of the course unit
To make the student capable to reason in infinite dimension
All the following courses:
Function of one variable A
Function of one variable B
Function of many variables A
Function of many variables B
Linear algebra and geometry
Topology and one complex variable
Course contents summary
Topological vector spaces, Banach spaces, Hilbert spaces, Lp spaces, convolution
Brezis, Analyse Fonctionnelle, Masson
Some arguments will be taken from Rudin, Real and complex analysis
Uses of trasparencies, direct questions to students during the lesson.
Euristic presentation when possible.