Applied Functional Analysis
| Type of study | Doctoral |
|---|---|
| Language of instruction | Czech |
| Code | 470-6101/01 |
| Abbreviation | APFA |
| Course title | Applied Functional Analysis |
| Credits | 10 |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | prof. RNDr. Jiří Bouchala, Ph.D. |
Subject syllabus
- Metric space.
- Complete metric space.
- Banach Fixed Point Theorem.
- Banach space.
- Linear functionals.
- Weak convergence.
- Hilbert space.
- Riesz Theorem.
- Operators in Banach and Hilbert spaces.
- Gateaux derivative.
- Fréchet derivative.
- Extrema of functionals, critical points.
- Complete metric space.
- Banach Fixed Point Theorem.
- Banach space.
- Linear functionals.
- Weak convergence.
- Hilbert space.
- Riesz Theorem.
- Operators in Banach and Hilbert spaces.
- Gateaux derivative.
- Fréchet derivative.
- Extrema of functionals, critical points.
E-learning
Consultation through MS Teams.
Literature
E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.
Advised literature
P. Drábek, J. Milota: Methods of Nonlinear Analysis, Birkhauser Advanced Texts, Berlin, 2007