School of Mathematics
MA3422:
Functional Analysis II
Tutorial sheets
- Tutorial Sheet 1 [January 26]]
- Inner product norms satisfy the triangle inequality. Gram-Schmidt.
- Tutorial Sheet 2 [February 2]]
- Orthogonal projections. Parallelogram identity.
- Tutorial Sheet 3 [February 9]]
- Adjoints of Hilbert space operators, positivity.
- Tutorial Sheet 4 [February 16]]
- Closed graphs. Projections and direct sums.
- Tutorial Sheet 5 [February 23]]
- Invertibility in $\mathcal{B}(E)$ and an example for Zorn's Lemma.
- Tutorial Sheet 6 [March 9]]
- Hahn-Banach related.
- Tutorial Sheet 7 [March 16]]
- Seminorm topologies. $c_0^* = \ell^1$.
- Tutorial Sheet 8 [March 30]]
- Weak topologies. Case of bounded sequences in $c_0$.
