Semester One 2012
The theory of Hilbert spaces is fundamental in many areas of modern mathematical analysis, having a clear and easy-to-grasp geometric structure, just like Euclidean spaces. However, unlike Euclidean spaces, Hilbert spaces may be infinite dimensional.
The course will be self-contained, introducing important spaces (especially L2(m)), operators on them, and basic spectral theory. Applications in dynamical systems (von Neumann’s ergodic theorem) and quantum mechanics will be included as time permits.
Prior exposure to MATH343 would be an asset, but is not mandatory.
Subject to approval of the Head of School.
Examination and Formal Tests
For further information see
Mathematics and Statistics.
All MATH420 Occurrences