Functional Analysis (851G1)
15 credits, Level 7 (Masters)
In this module, you cover:
- Banach spaces, Banach fixed-point theorem, Baire's theorem
- bounded linear operators and on Banach spaces, continuous linear functionals, Banach-Steinhaus uniform boundedness principle
- open mapping and closed graph theorems, Hahn-Banach theorem
- Hilbert spaces, orthogonal expansions, Riesz representation theorem.
20%: Coursework (Problem Set)
80%: Examination (Unseen examination)
Contact hours and workload
This module is 150 hours of work. This breaks down into 33 hours of contact time and 117 hours of independent study.
This module is running in the academic year 2019/20. We also plan to offer it in future academic years. It may become unavailable due to staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of such changes to modules at the earliest opportunity.