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Hilbert Spaces
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. Prior exposure to MATH343 would be an asset, but is not mandatory.For a full list of Honours courses, please refer to the School of Mathematics and Statistics Honours Booklet Mathematics and Statistics Honours Booklet
Subject to approval of the Head of School.
Hannes Diener
There is no set textbook for the course. Lecture notes will be made available in pdf format on the Math 420 Learn webpage.Recommended further reading includes:• G.F. Sim- mons (1963) Introduction to topology and modern analysis;• W. Rudin (1973) Functional analysis;• W. Rudin (1987) Real and Complex Analysis.
Library portalMathematics and Statistics Honours Booklet General information for students Library portal LEARN
Domestic fee $932.00
International Postgraduate fees
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see Mathematics and Statistics .