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04-00-0069 Funktionalanalysis · TUPlan

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04-00-0069

Funktionalanalysis

FB04 Mathematics · Offered in WiSe 2025/26

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Weekly sessions · WiSe 2025/26

Mon15:20–17:00S102/34 · Übung 1
Tue11:40–13:20S217/103 · Vorlesung und Übung
Thu11:40–13:20S103/123 · Vorlesung und Übung
Fri08:00–09:40S102/36 · Übung 2

Parts

04-00-0069-vuLecture with exercise6 contact h/week

Language: Deutsch
Taught by: Prof. Dr. rer. nat. Matthias Hieber, Gianmarco Del Sarto, M.Sc. Tarek Manuel Zöchling

Course content

normierte Räume; Vervollständigung; Satz von Hahn-Banch; Sätze von Banach-Steinhaus, der offenen Abbildung, vom abgeschlossenen Graphen; Hilberträume; reflexive Räume; schwache Konvergenz; Sobolev-Räume; schwache Lösung des Dirichletproblems; Spektraleigenschaften linearer Operatoren; kompakte Operatoren auf Banachräumen; Spektralsatz für kompakte Operatoren.

Exam dates

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