Specialised Course on Linear Functional Analysis
Official Course Description
The main goal of the course is to give a presentation of relevant applications of the abstract principles of functional analysis to a large variety of problems in mathematical analysis.
The course treats applications of
- the Hahn-Banach theorem, weak convergence and compactness,
- the Riesz representation theorem,
- the use of orthonormal bases,
- boundedness, compactness and spectra of integral operators,
- the spectral theorem for compact, self-adjoint operators.
For admission to the course, English 6 is required as well as at least 90 credits in mathematics. In addition it is required that the student has either completed a course in Linear functional analysis or is taking the course MATP35 Linear functional analysis, 7.5 credits, in parallel to the present course.