• FU-Students should register via Campus Management.
• Non-FU-students should register via MyCampus/Whiteboard.

Winter Term 2020/2021

Lecturer: Prof. Dr. Holger Reich

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• Time and place:
    Lecture: Tuesday and Thursday 10:00--12:00h, online
    Exercises: Thursday 14:00--16:00h, online

• Criteria: weekly exercises, regular participation in the excercise session, exam

• Oral Exam: Feb.22^nd, Feb.23^rd and Feb.24^th, 2021.

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Target group: Students from the 3rd/4th semester on.

Requirements: Analysis I/II and Linear Algebra I/II.

News:

In order to receive the information for the online sessions please register via Campus Management or MyCampus/Whiteboard. All further information and the course materials will be posted in Whiteboard.

Content:

Some key words and concepts: normed vector spaces, metric spaces, topological spaces, bounded operators, Hilbert spaces, dual spaces, compact operator, Hilbert-Schmidt operator, trace class operator, polar decomposition, spectral theory of compact operators, spectrum of a bounded operator, functional calculus.

Literature

• Hirzebruch, Friedrich and Scharlau, Winfried: Einführung in die Funktionalanalysis, Spektrum Verlag
• Rudin, Walter: Functional Analysis, McGraw Hill 1991
• Werner, Dirk: Funktionalanalysis, Springer-Verlag
  --- als E-Book erhältlich ---