Functional Analysis II
5 credits
Syllabus, Master's level, 1MA044
This course has been discontinued.
A revised version of the syllabus is available.
- Code
- 1MA044
- Education cycle
- Second cycle
- Main field(s) of study and in-depth level
- Mathematics A1F
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 24 April 2008
- Responsible department
- Department of Mathematics
Entry requirements
120 credit points and Topology, Functional Analysis I, Measure and Integration Theory I
Learning outcomes
In order to pass the course (grade 3) the student should be able to
Content
Locally convex topological vector spaces, seminorms. Sobolev spaces, Sobolev's embedding theorem. Banach algebras and spectral theory for bounded selfadjoint operators in Hilbert spaces.
Briefly about interpolation of operators. Briefly about various classes of operators (compact, Hilbert–Schmidt, trace classes, etc.)
Instruction
Lectures and problem solving sessions.
Assessment
Written and, possibly, oral examination at the end of the course. Moreover, compulsory assignments may be given during the course.