| Unit name | Functional Analysis 3 |
|---|---|
| Unit code | MATH36202 |
| Credit points | 20 |
| Level of study | H/6 |
| Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
| Unit director | Dr. McGillivray |
| Open unit status | Not open |
| Pre-requisites |
none |
| Co-requisites |
none |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
This unit sets out to explore some core notions in functional analysis. Functional analysis originated partly in the study of integral equations. It forms the basis of the theory of operators acting in infinite dimensional spaces. It has found broad applicability in diverse areas of mathematics (for example, spectral theory). Students will be introduced to the theory of Banach and Hilbert spaces. This will be followed by an exposition of four fundamental theorems relating to Banach spaces (Hahn-Banach theorem, uniform boundedness theorem, open mapping theorem, closed graph theorem).
