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Lecturer(s)
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Brzezina Miroslav, doc. RNDr. CSc., dr. h. c.
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Course content
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Normed linear spaces and its examplesory. Banach and Hilbert spaces. Linear mapping and functionals. Fundamental theorems of linear functional analysis. Theorems of Bair, Hahn-Banach and Banach.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing), Self-study (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments)
- Home preparation for classes
- 120 hours per semester
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Learning outcomes
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Normed linear spaces and its examplesory. Banach and Hilbert spaces. Linear mapping and functionals. Fundamental theorems of linear functional analysis.
fundamentals od functional analysis
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Prerequisites
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Passing of lectures in mathematical bachelor study.
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Assessment methods and criteria
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Oral exam, Written exam
Credit: Working out a semestral work. Exam: Written and oral.
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Recommended literature
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Drábek P., Kufner A. Úvod do funkcionální analýzy.
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