The spring semester 2021 will certainly take place online until Easter. Exceptions: Courses that can only be carried out with on-site presence. Please note the information provided by the lecturers.

401-3461-00L  Functional Analysis I

SemesterAutumn Semester 2016
LecturersM. Struwe
Periodicityyearly recurring course
Language of instructionGerman
CommentThis course counts as a core course in the Bachelor's degree programme in Mathematics. Holders of an ETH Zurich Bachelor's degree in Mathematics who didn't use credits from neither 401-3461-00L Functional Analysis I nor 401-3462-00L Functional Analysis II for their Bachelor's degree still can have recognised this course for the Master's degree.
Furthermore, at most one of the three course units
401-3461-00L Functional Analysis I
401-3531-00L Differential Geometry I
401-3601-00L Probability Theory
can be recognised for the Master's degree in Mathematics or Applied Mathematics.

Catalogue data

AbstractBaire category; Banach and Hilbert spaces, bounded linear operators; three fundamental principles: Uniform boundedness, open mapping/closed graph theorem, Hahn-Banach; convexity; dual spaces; weak and weak* topologies; Banach-Alaoglu; reflexive spaces; compact operators and Fredholm theory; closed range theorem; spectral theory of self-adjoint operators in Hilbert spaces.
Lecture notesLecture Notes on "Funktionalanalysis I" by Michael Struwe

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits10 credits
ExaminersM. Struwe
Typesession examination
Language of examinationGerman
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 180 minutes
Written aids20 Seiten (= 10 Blätter) DIN A4 (210 mm x 297 mm) handgeschriebene Zusammenfassung. 20 pages (=10 sheets) DIN A4 (210 mm x 297 mm) handwritten summary.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.


401-3461-00 VFunktionalanalysis I4 hrs
Mon10-12HG G 5 »
Wed08-10HG G 5 »
M. Struwe
401-3461-00 UFunktionalanalysis I1 hrs
Mon09-10HG E 21 »
09-10HG F 26.3 »
09-10HG F 26.5 »
09-10HG G 26.1 »
09-10HG G 26.5 »
M. Struwe


No information on groups available.


There are no additional restrictions for the registration.

Offered in

High-Energy Physics (Joint Master with EP Paris)Optional Subjects in MathematicsWInformation
Mathematics BachelorCore Courses: Pure MathematicsWInformation
Mathematics Master(also Bachelor) Core Courses: Pure MathematicsWInformation
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Physics MasterSelection: MathematicsWInformation