Difference between revisions of "NMMO302 Functional analysis for physicists"
From Josef Málek
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[[Media:LFA_8v2.pdf|7. Linear operators in Hilbert spaces. Riesz representation theorem.]] | [[Media:LFA_8v2.pdf|7. Linear operators in Hilbert spaces. Riesz representation theorem.]] | ||
| − | [[Media: | + | [[Media:LFA_9v2.pdf|8. Fredholm theory/Fredholm alternative.]] |
[[Media:LFA_10v1.pdf|9. Spectrum. An introduction to spectrum theory.]] [[Media:LFA_10bv1.pdf|9. Spectrum focusing on Hilbert spaces over complex scalars.]] | [[Media:LFA_10v1.pdf|9. Spectrum. An introduction to spectrum theory.]] [[Media:LFA_10bv1.pdf|9. Spectrum focusing on Hilbert spaces over complex scalars.]] | ||
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[[Media:LFA_Fv1.pdf|F. Abstract Fourier series. (in czech)]] | [[Media:LFA_Fv1.pdf|F. Abstract Fourier series. (in czech)]] | ||
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== Recordings == | == Recordings == | ||
Revision as of 13:08, 19 May 2022
Link to SIS
Link to SIS [1]
Syllabus
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
Problems
Feb 25: Finite-dimensional vector spaces
