# NMMO302 Functional analysis for physicists

From Josef Málek

## Link to SIS[edit]

Link to SIS [1]

## Syllabus and exams[edit]

Syllabus, general comments to the exam, literature SS 2021/2022

## Lectures[edit]

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[edit]

Week 9 - L22