Functional Analysis

Functional Analysis

Semester
WiSe 2022 / 23

Lecturer
Felix Finster

Type of course (Veranstaltungsart)
Vorlesung

German title
Funktionalanalysis

Contents
The lecture is devoted to linear functional analysis in Banach and Hilbert spaces. The
topics include: - Hahn-Banach theorem and applications - normed spaces: Baire category theory,
Neumann series - Hilbert spaces: orthogonal projection, Lax-Milgram theorem - operators in Hilbert
spaces: closure, adjoint, spectrum and resolvent, compact operators - spectral theory: functional
calculus, spectral measures, spectral theorem for bounded normal operators and for unbounded
self-adjoint operators

Literature
Standard textbooks on functional analysis. Details will be announced in the lecture.

Recommended previous knowledge
Analysis I-IV, Linear Algebra

Time/Date
Tuesday, Wednesday 10-12

Location
M 101

Course homepage
http://www.uni-regensburg.de/mathematik/mathematik-1/index.html
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Registration for the exercise classes: during the first week of classes
Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Successful participation in the exercise classes: 0% der Punkte, einmal zufriedenstellend
vorrechnen
Oral examination (without grade): Duration: 10, Date: individuelle Termine

Examination (Prüfungsleistungen)

Oral exam: Duration: 20, Date: individuelle Termine, re-exam: Date:

Modules
BV, MV, MAngAn

ECTS
9