Mathematical Sciences

Lund University

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.

Entry requirements:

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.

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Course Information

NF Code: MATP45
Level:Advanced Level