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
We’re currently reviewing contact hours for modules and will update with further information as soon as it is available.
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.
This module is offered on the following courses: