The Hudson School of Mathematics

Functional Analysis

This class deals with the fundamentals of Functional Analysis. The class consists in 23x2 hours sessions. This course is part of an experimental COIL (Collaborative Online International Learning) initiative in collaboration with Le Havre Normandie University. The chapter are as follows.
  1. Chapter I: Hahn-Banach Theorems
  2. Chapter II: Banach Spaces
  3. Chapter III: The Uniform Boudedness Principle and the Closed Graph Theorem
  4. Chapter IV: Weak and Weak-* topologies
  5. Chapter V: Hilbert Spaces
Lecture notes for the class for sale here. The registration period is closed. Already registered? Details of the class here