Terminated in academic year 2020/2021

Introduction to Functional Analysis

Type of study	Follow-up Master
Language of instruction	Czech
Code	470-4111/03
Abbreviation	ÚFA
Course title	Introduction to Functional Analysis
Credits	4
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.
Local and Global Extremes.

Literature

E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.

Advised literature

E. Zeidler: Applied Functional Analysis, Springer-Verlag, New York, 1995.

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