Entry requirements

Mathematics, 90 ECTS credits. Knowledge of

topology, integration theory and distribution

theory facilitates the understanding of the

course as well as this course facilitates the

understanding of those courses.

Aims

To provide the basic concepts and theorems within functional analysis.

Content

Normed spaces, Banach spaces and Hilbert spaces.

The Hahn-Banach theorem, duality and weak

convergence. Continuous and compact linear

mappings. Classical Banach spaces and integral

equations. The Baire category theorem and its

consequences.

Instruction

Lectures and problem solving sessions.

Assessment

Written and usually oral examination at the end

of the course. Moreover, compulsory assignments

may be given during the course.