Difference between revisions of "NMMO302 Functional analysis for physicists"
From Josef Málek
(→Recordings) |
(→Lectures) |
||
| Line 5: | Line 5: | ||
== Lectures == | == Lectures == | ||
| − | [[Media:LFA_1v1.pdf|Introduction.]] | + | [[Media:LFA_1v1.pdf|1. Introduction.]] |
| − | [[Media:LFA_2v1.pdf|Linear operators between Banach spaces; boundedness, examples and finite-dimensional vector spaces.]] | + | [[Media:LFA_2v1.pdf|2. Linear operators between Banach spaces; boundedness, examples and finite-dimensional vector spaces.]] |
| − | [[Media:LFA_3v2.pdf|Seminorms and Frechet spaces. Hahn-Banach theorem.]] | + | [[Media:LFA_3v2.pdf|3. Seminorms and Frechet spaces. Hahn-Banach theorem.]] |
| − | [[Media:LFA_4v2.pdf|Dual spaces. Reflexivity. Weak and weak-star convergences.]] | + | [[Media:LFA_4v2.pdf|4. Dual spaces. Reflexivity. Weak and weak-star convergences.]] |
| − | [[Media:LFA_5v1.pdf|Baire's theorem.]] | + | [[Media:LFA_5v1.pdf|B. Baire's theorem.]] |
| − | [[Media:LFA_6v2.pdf|Great theorems of LFA.]] | + | [[Media:LFA_6v2.pdf|5. Great theorems of LFA.]] |
| − | [[Media: | + | [[Media:LFA_7v1.pdf|6. Adjoint operators. Compact operators.]] |
| + | |||
| + | [[Media:LFA_8v2.pdf|7. Linear operators in Hilbert spaces. Riesz representation theorem.]] | ||
| + | |||
| + | [[Media:LFA_9v1.pdf|8. Fredholm theory/Fradholm alternative.]] | ||
| + | |||
| + | [[Media:LFA_10v1.pdf|9. Spectrum. An introduction to spectrum theory.]] | ||
== Recordings == | == Recordings == | ||
Revision as of 18:34, 18 May 2022
Link to SIS
Link to SIS [1]
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/Fradholm alternative.
9. Spectrum. An introduction to spectrum theory.
Recordings
Week 9 - L22
Problems
Feb 25: Finite-dimensional vector spaces
