This page contains organizational information about this course. The Syllabus contains detailed information on the content.

Lecturer: Prof. Hannes Thiel hannes.thiel@chalmers.se
Schedule: Week 45-Week 51 (4. Nov. - 20. Dec.): Monday 10:00-11:45, Tuesday 10:00-11:45, Thursday 10:00 - 11:45 in MVF26.
Office hours: Wednesdays 11-12 and by appointment in MVL-3072.
Literature: We will mostly use the book [EW]. The lecture on the Riesz representation theorem is based on the book [C].
- [EW] M. Einsiedler and T. Ward, Functional Analysis, Spectral Theory and Applications. Springer GTM 276 (2017). (The e-version of the book can be read/downloaded here via accessing Chalmers Library).
- [C] J.B. Conway, A course in functional analysis, 2nd edition. Springer GTM 96 (1990).

Oral exams take place 8.1., 13.1., 14.1, and 15.1., all in seminar room MVL15.

Assignments

Notes from lectures

Lecture notes

Overview of content

We will cover (parts of) the following Sections in [EW]:

Chapter 2 (Norms and Banach Spaces) - Sections 2.1, 2.2, 2.3 2.4
Chapter 3 (Hilbert Spaces) - Sections 3.1, 3.2
Chapter 4 (Uniform Boundedness and the Open Mapping Theorem) - Sections 4.1, 4.2
Chapter 6 (Compact Self-Adjoint Operators) - Sections 6.1, 6.2
Chapter 7 (Dual Spaces) - Section 7.1
Chapter 8 (Locally Convex Vector Spaces) - Section 8.1

List of definitions and result covered during the lectures.

Examination

The examination consists of 4 homework assignments, a student project, and individual oral examination. Each will be graded with points, which will be added to determine the final grade:

G (Godkänd/Pass), corresponding to 50-74 points (with minimum 30 points on homework and 20 points on oral exam), or

VG (Väl Godkänd/Very Good - Pass with distinction), 75-100

(A) Assignments (60 points)

There will be 6 (short) hand-in homework assignments, each will be graded with up to 10 points.

(OE) Oral Examination (40 points)

Individual oral examinations in January 2025. The oral exam will test both the theory (definitions, theorems etc.) as well as solving (simple) problems.

General Information on Examination Procedure

(There is some general information of examination some of which is not relevant to this course and is not included here.)

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.