Applied Functional Analysis

Type of study	Doctoral
Language of instruction	English
Code	470-6101/02
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.

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

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