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.
Objective
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.

Courses

NumberTitleHoursLecturers
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

Groups

No information on groups available.

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
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
Physics BachelorSelection of Higher Semester CoursesWInformation
Physics MasterSelection: MathematicsWInformation