Lecture contents
- Lecture 1: 3 February. Metric, normed and Banach spaces. Completion. Notes to p16.
I stopped at the point when I had defined the norm of a linear operator between normed spaces but did not prove that its finiteness is equivalent to contnuity.
- Lecture 2: 5 February. The norm on the space of continuous linear maps between two normed spaces. Completeness when the range space is complete. Dual space of a normed space (and oblique mention of Hahn-Banach). The Banach space of once continuously differentiable functions on a closed interval. Notes p16-18,
- Lecture 3: 10 February.
- Lecture 4: 12 February.
- Lecture 5: 19 February.
- Lecture 6: 24 February.
- Lecture 7: 26 February.
- Lecture 8: 3 March.
- Lecture 9: 5 March.
- Lecture 10: 10 March.
- Lecture 11: 12 March.
- Lecture 12: 17 March.
- Lecture 13: 19 March.
- Lecture 14: 31 March
- Lecture 15: 2 April.
- Lecture 16: 7 April.
- Lecture 17: 9 April.
- Lecture 18: 14 April.
- Lecture 19: 16 April.
- Lecture 20: 23 April.
- Lecture 21: 28 April.
- Lecture 22: 30 April.
- Lecture 23: 5 May.
- Lecture 24: 7 May.
- Lecture 25: 12 May.
- Lecture 26: 14 May.