MATH420-12S1 (C)
Hilbert Spaces
This is a semester one course.
Message of the Day
Posted by Rua Murray on February 18 2012, 11:47 am
Welcome to Hilbert spaces for 2012!
Lectures have been scheduled for 10am and 2pm on Tuesdays. I shall try to start in week 1 (rather than week 2), since this gives us more flexibility if there is disruption to the Semester.
The present lecture room is Erskine242, but watch the CIS for changes.
Course notes are available on the course materials link. The first week's material is mostly about scene setting; and may be familiar to most of you.
See you on Tuesday!
--Rua
Lectures have been scheduled for 10am and 2pm on Tuesdays. I shall try to start in week 1 (rather than week 2), since this gives us more flexibility if there is disruption to the Semester.
The present lecture room is Erskine242, but watch the CIS for changes.
Course notes are available on the course materials link. The first week's material is mostly about scene setting; and may be familiar to most of you.
See you on Tuesday!
--Rua
Course Information
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.
Enquiries
Dr Rua Murray
Room 604 Erskine Building
Phone Extension 4867
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