Functional Analysis

Education facts

Code: 5MA170

The course covers basic functional analysis. The theory includes linear operators on Hilbert spaces, Banach spaces, and locally convex spaces. It also includes an introduction to spectral theory and fixed point theorems, and applications of  these on non-linear operators. Function spaces and base expansions of different kinds are also discussed.

Entry requirements

The course requires a course in Real Analysis on advanced level. Proficiency in English equivalent to the level required for basic eligibility for higher studies. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Functional Analysis

  Umeå University

  Umeå

  Start date: 18 January 2027

  End date: 24 March 2027

  Pace of study: 50 %