Functional analysis
Table of contents
The lecture on Friday, Feb 1 is postponed to Wednesday, Feb 6, 3.DS.
Functional Analysis
In this lecture we study the general structure and properties of function spaces and continuous mappings on function spaces. We focus on linear functional analysis and thus consider spaces that carry the structure of a vector space. Topics includenormed spaces, Hilbert spaces, main properties of linear operators, linear functionals and seperation of convex sets, basic notions in topology including weak convergence, spectrum, Sobolev spaces.
Course Information
- lecturer: Prof. Dr. Stefan Neukamm
- time and place:
Wed. 11:10 - 12:40, WIL C129
Fri. 13:00 - 14:30, WIL A120 - Modul: Math-BA-HANA
- Literature:
- H.W. Alt, Lineare Funktionalanalysis
- D. Werner, Funktionalanalysis
- H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations
- Language: German (English on demand)
Problem sheets
Lecture notes
see here. I also recommend the lecture notes by Prof. M. Brokate.