Functional Analysis (MATH7404)
Course level
Postgraduate Coursework
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Class hours
3 Lecture hours
1 Tutorial hour
Incompatible
MATH4404
Prerequisite
Permission of Head of School
Assessment methods
Examination, assignments, presentation
Course enquiries
Dr Artem Pulemotov
This course is not currently offered, please contact the school.
Course description
(offered in semester 2 in odd years only) Metric spaces revisited. Banach spaces: linear operators & functionals; uniform boundedness principle; Hahn-Banach, closed graph & open mapping theorems. Dual spaces, weak & strong convergence; adjoints. Hilbert spaces: orthogonality; projections; Riesz reprentation theorem. Complete continuity. Fredholm alternative.
Archived offerings
Course offerings | Location | Mode | Course Profile |
Semester 2, 2021 (26/07/2021 - 20/11/2021) | External | External | Course Profile |
Semester 2, 2021 (26/07/2021 - 20/11/2021) | St Lucia | Internal | Course Profile |
Semester 2, 2019 (22/07/2019 - 16/11/2019) | St Lucia | Internal | Course Profile |
Semester 2, 2017 (24/07/2017 - 18/11/2017) | St Lucia | Internal | Course Profile |
Semester 2, 2015 (27/07/2015 - 21/11/2015) | St Lucia | Internal | Course Profile |