Universität Wien

250223 VO Banach algebras (2007W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Friday 05.10. 11:00 - 13:00 Seminarraum
  • Tuesday 09.10. 11:15 - 12:45 Seminarraum
  • Friday 12.10. 11:00 - 13:00 Seminarraum
  • Tuesday 16.10. 11:15 - 12:45 Seminarraum
  • Friday 19.10. 11:00 - 13:00 Seminarraum
  • Tuesday 23.10. 11:15 - 12:45 Seminarraum
  • Tuesday 30.10. 11:15 - 12:45 Seminarraum
  • Tuesday 06.11. 11:15 - 12:45 Seminarraum
  • Friday 09.11. 11:00 - 13:00 Seminarraum
  • Tuesday 13.11. 11:15 - 12:45 Seminarraum
  • Friday 16.11. 11:00 - 13:00 Seminarraum
  • Tuesday 20.11. 11:15 - 12:45 Seminarraum
  • Friday 23.11. 11:00 - 13:00 Seminarraum
  • Tuesday 27.11. 11:15 - 12:45 Seminarraum
  • Friday 30.11. 11:00 - 13:00 Seminarraum
  • Tuesday 04.12. 11:15 - 12:45 Seminarraum
  • Friday 07.12. 11:00 - 13:00 Seminarraum
  • Tuesday 11.12. 11:15 - 12:45 Seminarraum
  • Friday 14.12. 11:00 - 13:00 Seminarraum
  • Tuesday 18.12. 11:15 - 12:45 Seminarraum
  • Tuesday 08.01. 11:15 - 12:45 Seminarraum
  • Friday 11.01. 11:00 - 13:00 Seminarraum
  • Tuesday 15.01. 11:15 - 12:45 Seminarraum
  • Friday 18.01. 11:00 - 13:00 Seminarraum
  • Tuesday 22.01. 11:15 - 12:45 Seminarraum
  • Friday 25.01. 11:00 - 13:00 Seminarraum
  • Tuesday 29.01. 11:15 - 12:45 Seminarraum

Information

Aims, contents and method of the course

This course offers an introduction to the theory
and some applications of Banach algebras. This subject is part of the area of functional analysis, the prerequisites will be the basic facts
from the theory of Hilbert spaces and Banach spaces (first half of a standard functional analysis course).

The first two thirds of the course will cover the standard material: Banach algebras and the main examples Spectrum and invertibility
Gelfand theory of commutative Banach algebras
C*-algebras Spectral theorem for self-adjoint operators

The last part of the course will be devoted to the concept of symmetry and inverse-closedness. These concepts have become important in many
recent applications of Banach algebras in applied mathematics. I plan to give an elementary introduction.

The language of the course will be German, on demand it can also be held in English.

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list

J. B. Conway, A first course in functional analysis
(Chapters 7,8), Rickart, General theory of Banach algebras.

Association in the course directory

MANV

Last modified: Mo 07.09.2020 15:40