Functional Analysis (L.6) (G1029)
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Functional Analysis (L.6)
Module G1029
Module details for 2025/26.
15 credits
FHEQ Level 6
Module Outline
-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.
Module learning outcomes
A successful student should:know the basic facts and the definitions about Hilbert and Banach spaces and their duals;
be able to state and sketch the ideas of the proofs of the following basic theorems and principles: Baire, Banach-Steinhaus, Hahn- Banach, closed graph, open mapping; contraction mapping theorem.
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 20.00% | |
| Coursework components. Weighted as shown below. | ||
| Portfolio | T1 Week 11 | 40.00% |
| Problem Set | T1 Week 5 | 15.00% |
| Problem Set | T1 Week 3 | 15.00% |
| Problem Set | T1 Week 10 | 15.00% |
| Problem Set | T1 Week 8 | 15.00% |
| Unseen Examination | Semester 1 Assessment | 80.00% |
Timing
Submission deadlines may vary for different types of assignment/groups of students.
Weighting
Coursework components (if listed) total 100% of the overall coursework weighting value.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Autumn Semester | Lecture | 2 hours | 11111111111 |
| Autumn Semester | Lecture | 1 hour | 11111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.
Dr Masoumeh Dashti
Assess convenor, Convenor
/profiles/280338
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