Number of credits: 8 hp
Examiner: Evgeniy Lokharu
Course literature: M. Reed, B. Simon, ”Methods Of Modern Mathematical Physics”, Vol.1, Academic Press, 1981.
Supplementary literature: E. Kreyszig, ”Introductory Functional Analysis with Applications”, Wiley, 1989.
Course contents: This course covers selected topics of spectral theory of linear operators in Hilbert and Banach spaces. A special attention will be paid to examples and applications. The following topics are included:
- Bounded linear operators in Hilbert and Banach spaces.
- Spectrum and Resolvent.
- Compacts operators.
- Fredholm operators.
- Fredholm Alternative.
- Self-Adjont operators.
Organisation: Lectures and problem solving seminars.
Examination: Exercises (assignments).
Prerequisites: The course requires some basic knowledge from Functional Analysis (Normed spaces, Bounded operators and Functionals).
Last updated: 2021-12-06