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Functional Analysis

Anotace

Metric spaces, linear spaces, normed linear spaces, orthogonality.
Cauchy's sequences, completeness.
Banach and Hilbert spaces.
Hilbertovy a Banachovy prostory.
Functionals and operators in Hilbert space. Schauder's theorem.

Povinná literatura

REKTORYS, K.: Variational Methods in Mathematics, Science and
Engineering. SNTL, Praha, 1980

Doporučená literatura

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


Language of instruction čeština, čeština
Code 714-0522
Abbreviation FA
Course title Functional Analysis
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator doc. RNDr. Jaroslav Vlček, CSc.