MATH420-12S1 (C) Semester One 2012

Hilbert Spaces

0.1250 EFTS
20 Feb 2012 - 24 Jun 2012


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.  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.

Learning Outcomes

University Graduate Attributes

This course will provide students with an opportunity to develop the Graduate Attributes specified below:

Critically competent in a core academic discipline of their award

Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.


Subject to approval of the Head of School.

Streams Day Time Where Notes
Stream 01 Tuesday 10:00am-11:00am Erskine 242 20 Feb - 1 Apr,
23 Apr - 3 Jun
Tuesday 2:00pm-3:00pm Erskine 242 20 Feb - 1 Apr,
23 Apr - 3 Jun

Course Coordinator

Rua Murray

Examination and Formal Tests

Test Friday 15 Jun 2012 10:00am-12:00pm Erskine 445

Indicative Fees

Domestic fee $788.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mathematics and Statistics.

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