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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
To acquaint students with fundamental notions of topology and functional analysis |
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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Edwards, R.E.: Functional Analysis,Rinehart and Wiston, New York 1965 Taylor, A.E.: Introduction to Functional Aanalysis |
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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Lecture and seminar |
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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Seminar:
Exam:
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Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Spaces: metric, linear, normed, Banach, Hilbert. Neighborhoods, open and closed sets. Convergence in metricspaces. Bolzano-Cauchy condition, completeness, separability. Scalar product, orthogonality. Linear functionals, Hahn-Banach theorem, adjoint space. Linear operators. |