| Area of Mathematics: | Analysis (EA) | ||
| Semester: | 7ο | ||
| Course ID: | 72102 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | For the course’s material, click here. | ||
| Instructors: | |||
Description
- Vector spaces, inner product, Hilbert spaces.
- Bounded linear operators: examples, adjoint operator, orthogonal projections.
- Finite rank operators, compact operators, integral operators.
- Spectral theorem for compact normal operators. Applications.
Bibliography
- Gohberg I., Goldberg S., Basic operator theory (Reprint of the 1981 original), Birkhauser, 2001.
- Young N. J., An Introduction to Hilbert Space, Cambridge University Press, 1988.
- Debnath L., Mikusinski P., Introduction to Hilbert Spaces with Applications, 3rd Edition, Elsevier Academic Press, 2005.
