Hilbert Spaces (U03857)

? Credit Points : 10 ? SCQF Level : 10 ? Acronym : MAT-4-HSp

Inner product spaces, geometric and metric properties of Hilbert spaces, orthogonal expansions and projections in Hilbert spaces. Bounded linear functionals and operators, compact operators on Hilbert spaces. The spectral theorem for selfadjoint compact operators.

Entry Requirements

? Pre-requisites : MAT-3-CVD, MAT-3-PAA

Subject Areas

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 4th year

? Delivery Period : Semester 1 (Blocks 1-2)

? Contact Teaching Time : 2 hour(s) per week for 11 weeks

First Class Information

Date	Start	End	Room	Area	Additional Information
18/09/2007	12:10	13:00	Lecture Theatre 1, Ashworth Labs	KB

All of the following classes

Type	Day	Start	End	Area
Lecture	Tuesday	12:10	13:00	KB
Lecture	Friday	12:10	13:00	KB

Summary of Intended Learning Outcomes

1. Ability to apply general theory to specific examples.
3. An ability to use orthogonality arguments in concrete situations.
4. Familiarity of basic functional analysis results and an ability to use them.
5. To gain an appreciation of the interplay between analysis, geometry and algebra in the setting of Hilbert spaces.