This page includes information about aim and learning outcomes, teachers, literature, examination, examination procedures, old exams and course evaluation. The program for all teaching sessions can be found on a separate page (Course syllabus).

Aim and learning outcomes

The aim and learning outcomes of the course can be found in the course plan.

Changes compared to the last occasion

We'll try to cover some material on amenable groups, Banach limits and equi-distributions which are of importance in the current research. Some homework exercises last time were too difficult, so this year more elementary and "standard" exercises will be constructed and recommended.

Teachers

Examiner: Genkai Zhang

Lecturer: Genkai Zhang

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Course literature

M. Einsiedler and T. Ward, Functional Analysis, Spectral Theory and Applications. Springer GTM, 2017. (The e-version of the book can be read/downloaded via accessing Chalmers Library)

(English-Swedish mathematical dictionary.)

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Examination

Hand-in exercises and oral exam. There will be 5 assignments to be handed in and to be graded, of total 25 points. The oral exam consists of solving two questions (may consist of sub-questions), one on theory and one on concrete problem, and a presentation of the solution; the max grade is 25 points.

The final grade is

G (Godkänd/Pass), corresponding to 25-34 points (with minimum 12 p on homework and 13 points on oral exam), or

VG (Väl Godkänd/Very Good - Pass with distinction), 35-50

List of Theorems whose statements and proofs are required for the exam.: (updated during the course)

Proposition 2.35 (non-compactness)
Theorem 3.13 (for convex sets in Hilbert spaces)
Corollary 3.19. (Riesz representation)
Theorem 4.1 (Banach-Steinhauss)
Theorem 4.12 (Baire category)
Theorem 4.28 (Closed graph)
Hahn-Banach
Existence of Banach limit on l ^ \infty (small l infinity)-
Banach-Alaoglu Theorem
Dual space of L^1.

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Examination procedures

(Some general information of examination which is not quite relevant to this cours)

Before the exam, it is important that you sign up for the examination. You sign up through Ladok.

At the exam, you should be able to show valid identification.

After the exam has been graded, you can see your results in Ladok.

At the annual (regular) examination:
When it is practical, a separate review is arranged. The date of the review will be announced here on the course homepage. Anyone who can not participate in the review may thereafter retrieve and review their exam at the Mathematical sciences student office. Check that you have the right grades and score. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

At re-examination:
Exams are reviewed and retrieved at the Mathematical sciences student office. Check that you have the right grades and score. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

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Course evaluation

At the beginning of the course, at least two student representatives should have been appointed to carry out the course evaluation together with the teachers. The evaluation takes place through conversations between teachers and student representatives during the course and at a meeting after the end of the course when the survey result is discussed and a report is written.

Student representatives

The following students have been appointed:

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Old exams

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Program

The program can be found on the Course syllabus.

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