101.295 Functional Analysis 2
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2021W, VO, 3.0h, 4.5EC

Course evaluation

Properties

  • Semester hours: 3.0
  • Credits: 4.5
  • Type: VO Lecture
  • Format: Distance Learning

Learning outcomes

After successful completion of the course, students are able to define Banach algebras, recognize them as such and work with them, to formulate, apply and prove the spectral theorem for normal and unlimited self-adjoint operators, to define semi-groups of operators and recognize them as such and to formulate, apply and prove the Hille–Yosida theorem.

Subject of course

Banach Algebras, Spectral theory of linear operators, spectral resolution for normal and unbounded selfadjoint operators,  semi-groups of operators, Hill-Yoshida theorem, selected topics.

Teaching methods

Classical lecture on the black board

Mode of examination

Oral

Additional information

ACHTUNG: Betreffend Terminen / Durchfuehrungsmodalitaeten / Unterlagen siehe die homepage der LVA !

https://www.asc.tuwien.ac.at/~woracek

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon12:00 - 14:0004.10.2021 - 24.01.2022Sem.R. DA grün 04 (LIVE)Vorlesung
Tue16:00 - 17:0005.10.2021 - 25.01.2022Sem.R. DA grün 04 (LIVE)Vorlesung
Functional Analysis 2 - Single appointments
DayDateTimeLocationDescription
Mon04.10.202112:00 - 14:00Sem.R. DA grün 04 Vorlesung
Tue05.10.202116:00 - 17:00Sem.R. DA grün 04 Vorlesung
Mon11.10.202112:00 - 14:00Sem.R. DA grün 04 Vorlesung
Tue12.10.202116:00 - 17:00Sem.R. DA grün 04 Vorlesung
Mon18.10.202112:00 - 14:00Sem.R. DA grün 04 Vorlesung
Tue19.10.202116:00 - 17:00Sem.R. DA grün 04 Vorlesung
Mon25.10.202112:00 - 14:00Sem.R. DA grün 04 Vorlesung
Mon08.11.202112:00 - 14:00Sem.R. DA grün 04 Vorlesung
Tue09.11.202116:00 - 17:00Sem.R. DA grün 04 Vorlesung
Tue16.11.202116:00 - 17:00Sem.R. DA grün 04 Vorlesung
Mon22.11.202112:00 - 14:00Sem.R. DA grün 04 Vorlesung
Tue23.11.202116:00 - 17:00Sem.R. DA grün 04 Vorlesung
Mon29.11.202112:00 - 14:00Sem.R. DA grün 04 Vorlesung
Tue30.11.202116:00 - 17:00Sem.R. DA grün 04 Vorlesung
Mon06.12.202112:00 - 14:00Sem.R. DA grün 04 Vorlesung
Tue07.12.202116:00 - 17:00Sem.R. DA grün 04 Vorlesung
Mon13.12.202112:00 - 14:00Sem.R. DA grün 04 Vorlesung
Tue14.12.202116:00 - 17:00Sem.R. DA grün 04 Vorlesung
Mon10.01.202212:00 - 14:00Sem.R. DA grün 04 Vorlesung
Tue11.01.202216:00 - 17:00Sem.R. DA grün 04 Vorlesung

Examination modalities

Oral Exam

Course registration

Not necessary

Curricula

Literature

Lecture notes will be provided during the course.

Previous knowledge

Content of Functional analysis 1

Miscellaneous

Language

German