Lecturer

Prof. Dr. Michael Struwe

Course Assistant

Francesco Palmurella

Teaching Assistants

Riccardo Caniato

Alexandru Paunoiu

Jerome Wettstein

Peter Wildemann

Lectures

Mon 10–12 / HG D 7.1

Thu 13–15 / HG G 5

Exercise classes

Mon 09–10

First Lecture

19.09.2019

First Exercise class

23.09.2019

Course Catalogue

401-3461-00L Functional Analysis I

Primary References

Michael Struwe, Funktionalanalysis I und II. Lecture notes, ETH Zürich, 2013/14.

Haim Brezis, Functional analysis, Sobolev spaces and partial differential equations. Universitext. Springer, 2011.

Elias M. Stein and Rami Shakarchi, Functional analysis. Princeton Lectures in Analysis. Princeton University Press, 2011.

Dirk Werner, Funktionalanalysis, Springer Lehrbuch. Springer, 8. Auflage, 2018.

Further References

Manfred Einsiedler and Thomas Ward, Functional Analysis, Spectral Theory, and Applications. Graduate Text In Mathematics, 276. Springer, 2017.

Peter D. Lax, Functional analysis. Pure and Applied Mathematics. Wiley-Interscience [John Wiley & Sons], 2002.

Michael Reed and Barry Simon, Methods of Modern Mathematical Physics – Volume 1 (Functional Analysis). Academic Press, 1981.

Walter Rudin, Functional analysis. International Series in Pure and Applied Mathematics. McGraw-Hill, second edition, 1991.

Please register in myStudies.

Assistant	Classroom
Riccardo Caniato	HG E 21
Alexandru Paunoiu	HG G 26.1
Jerome Wettstein	HG F 26.5
Peter Wildemann	HG G 26.5

If you are taking the exam in August and you have questions, please use the ➡ Online Forum. Register using your student mail account and look for the Functional Analysis I thread.

• An exercise sheet is uploaded every Thursday. The corresponding solution appears one week after the due date.
• You have the possibility to hand in your solution to all or only to some of the exercises that are in the exercise sheets to your teaching assistant and have it graded and commented. You may hand it in/pick it up either during the exercise classes on Monday, or leave it in the corresponding mailboxes in HG F 28.
• Handing in, even at different time intervals, is a good way to test your preparation and understanding of the subject. It will not contribute to the final grade.
• If you have troubles solving a particular exercise, do not understand the solution or have any other question, do not refrain from asking or mailing your teching assistant or the course assistant.
• If you spot any typo or you think there may be some mistake, do not hesitate to contact the course assistant. Except for small typos, all changes made after the initial release are marked in blue.

Upload date	Exercise Sheet	Due date	Comments
19.09.2019	Sheet 1 – Solution	30.09.2019	–
26.09.2019	Sheet 2 – Solution	07.10.2019	–
03.10.2019	Sheet 3 – Solution	14.10.2019	From now on, hints are at the end of the sheet
10.10.2019	Sheet 4 – Solution	21.10.2019	–
17.10.2019	Sheet 5 – Solution	28.10.2019	–
24.10.2019	Sheet 6 – Solution	04.11.2019	–
31.10.2019	Sheet 7 – Solution	11.11.2019	–
07.11.2019	Sheet 8 – Solution	18.11.2019	Updated hint to 8.1
14.11.2019	Sheet 9 – Solution	25.11.2019	–
21.11.2019	Sheet 10 – Solution	02.12.2019	–
28.11.2019	Sheet 11 – Solution	09.12.2019	–
5.12.2019	Sheet 12 – Solution	16.12.2019	–
13.12.2019	Sheet 13 (mock exam) – Solution	–	More information inside the sheet
13.12.2019	2017 Exam 1| 2017 Exam 2	–	Two older exams, for further practice
06.03.2020	February 2020 Exam	–	Solution not included. You may always mail the assistants for help.

Here is a list with useful information on the exam. If you have any question, please mail the course organizer.

• The exam will take place on Monday 27th January 2020, and it will be 3 hours long. For the time and place, please check mystudies in due time.
• The exam will consists in questions concerning the material presented in the lectures and on the exercise sheets.
You will be asked to give definitions and statements seen in the course and to solve some exercises. Some of the exercises will ask for (reasonably short) proofs already seen in the lecture or in the exercise sheets.
• No aiding material is allowed during the exam. This includes: lecture notes, personal notes, exercise sheets, mobile phones or tablets, calculators.
A compendium listing some theorems and useful results will be given with the exam.
• While solving the exercises, you may invoke the main results seen in the course (e.g. Hahn-Banach, the Closed Graph Theorem), their main corollaries and the results quoted in the compendium. Aside from this, every step in your argument must be proved.
• You may bring your own blank paper (A4 format).
• In order to obtain the maximal grade, it will not be necessary to solve all problems.
• You can find the Text of the January 2020 Exam among the Exercises above.