Introduction to Functional Analysis
| Type of study | Follow-up Master |
|---|---|
| Language of instruction | English |
| Code | 470-4111/02 |
| Abbreviation | ÚFA |
| Course title | Introduction to Functional Analysis |
| Credits | 6 |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | prof. RNDr. Jiří Bouchala, Ph.D. |
Osnova předmětu
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.
Local and Global Extremes.
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.
Local and Global Extremes.
E-learning
Povinná literatura
E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.
Doporučená literatura
E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.