Functional analysis

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Functional analysis

Semester
WiSe 2025 / 26

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
Will be announced in the lecture

Recommended previous knowledge
Analysis I-III

Time/Date
Di 8-10, Mi 10-12

Location
Di M103, Mi M101

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

Registration

Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Successful participation in the exercise classes: 50% der Punkte

Examination (Prüfungsleistungen)

Oral exam: Duration: 25 Minuten, Date: individuelle Termine, re-exam: Date:

Modules
BAn(2), BV, MV, MAngAn

ECTS
9

Druckansicht