Functional Analysis 1

Course guarantor:

Jan Hamhalter

Lecturer:

Jan Hamhalter

Tutor:

Jan Hamhalter

Supervisor:

Department of Mathematics

Synopsis:

Measure theory and Lebesgue integral. An introduction to Hilbert spaces. Theory of linear operators in Hilbert spaces. Spectral theory.

Requirements:

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Study materials:

1. Rudin, W.: Real and Complex Analysis, McGraw-Hill, 1987

2. Kreyszig, E.: Introductory functional analysis with applications, Wiley 1989

3. Meyer, C.D.: Matrix analysis and applied linear algebra, SIAM 2001.

Note:

Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Wed
Thu	roomJP:B1-5?? Hamhalter J. 09:15–10:45 (lecture parallel1) Jugoslávských partyzánů 3 roomJP:B1-5?? Hamhalter J. 11:00–12:30 (lecture parallel1 parallel nr.101) Jugoslávských partyzánů 3
Fri

The course is a part of the following study plans:

• Doctoral studies, daily studies (compulsory elective course)
• Doctoral studies, combined studies (compulsory elective course)
• Doctoral studies, structured daily studies (compulsory elective course)
• Doctoral studies, structured combined studies (compulsory elective course)