Time: Tuesdays 12-1 and 2-3,
from September 30th to December 9th 2003
Place: Room G, School of Mathematics, University of Leeds
Lecturer: Prof. J.R. Partington
The course will fall into two fairly independent halves. I aim to cover the following topics in as much detail as time permits:
1. Banach space theory
Bases in Banach spaces. Convexity and smoothness properties. Weak topologies and reflexivity.
2. Operator theory
Isometries, Wold decomposition, universal models. Normal operators and spectral theory. Functional calculus. The invariant subspace problem.
Prerequisites: some familiarity with Hilbert spaces, elementary operator theory, and the standard examples of Banach spaces.
Last updated September 5th 2003