Taught by Thomas Jordan (1st half) and Felipe Ramirez (2nd half)
Lectures and office hour: The lectures are at Monday 3 (SM3), Tuesday 4 (SM3) and Thursday 5 (SM3). My office hour will be at Monday 12.
Lecture Notes Chapter 1, Inner product spaces and normed spaces., Chapter 2 Hilbert and Banach spaces , Chapter 3 Orthogonality and Fourier series, Chapter 4 linear operator and linear functionals, Chapter 5 Hahn-Banach Theorem
Homework: homework will be handed out in the lecture on Thursday. There will be a problems class at Tuesday 12 (pc2) starting in week 15 to go over homework questions. Please hand in homework either at the end of lectures or in the box on the ground floor of the main mathematics building.
Set 31/01/2013: Questions 1,3,6 and 7 on exercise sheet 1, (solutions)
Set 05/02/2013: Questions 1,2,5 and 6 on exercise sheet 2. (solutions)
Set 14/02/2013: Questions 2,3,4 and 6 on exercise sheet 3 (solutions)
Set 21/02/2013: Questions 1,5,6 and 7 on exercise sheet 4 (solutions)
Set 28/02/2013: Questions 2,5,7 and 9 on exercise sheet 5 (solutions)
Set 07/03/2013: Questions 1,5,6 and 7 on exercise sheet 6 (solutions)
Set 14/03/2013: Questions 1,2,3 and 5 on exercise sheet 7
Textbook: The books An Introduction to Hilbert space by N. Young (1st half of the unit only) and Introductory Functional Analysis with Applications by E. Kreyszig will be useful.