NMMO302 Functional analysis for physicists
From Josef Málek
Link to SIS
Link to SIS [1]
Syllabus and exams
Syllabus, general comments to the exam, literature SS 2021/2022
Lectures
3. Seminorms and Frechet spaces. Hahn-Banach theorem.
4. Dual spaces. Reflexivity. Weak and weak-star convergences.
6. Adjoint operators. Compact operators.
7. Linear operators in Hilbert spaces. Riesz representation theorem.
8. Fredholm theory/Fredholm alternative.
9. Spectrum. An introduction to spectrum theory. 9. Spectrum focusing on Hilbert spaces over complex scalars.
A. Arzela-Ascoli theorem. (in czech)
F. Abstract Fourier series. (in czech)
Recordings
Week 9 - L22