Universität Wien

250061 VO Advanced functional analysis (2016S)

7.00 ECTS (4.00 SWS), SPL 25 - Mathematik
Moodle

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 01.03. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.03. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.03. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.03. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.03. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 04.04. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 05.04. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 11.04. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 12.04. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 18.04. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 19.04. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.04. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 26.04. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 02.05. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 03.05. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.05. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 10.05. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.05. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 24.05. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.05. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 31.05. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 06.06. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.06. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.06. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.06. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.06. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.06. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.06. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.06. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Spectral theorems for bounded and unbounded self-adjoint operators. Locally convex vector spaces (including a very brief introduction to the theory distributions).

The course will be based on parts of chapters VII and VIII of Dirk Werner’s
excellent textbook---the book is in German, but my notes will be in English.
(pdf in English will be available via Moodle)

Assessment and permitted materials

oral exam, approx. 45 minutes

Minimum requirements and assessment criteria

reproducing the notions, results, and proofs presented on the blackboard during the lectures (at least in a mathematically equivalent way)

Examination topics

lecture notes (pdf in English) will be available at the start of the semester via Moodle

Reading list

The main source are chapters VII and VIII in
D. Werner: Funktionalanalysis. Springer-Verlag, 7. Auflage 2011.

Typical and recommendable sources regarding the prerequisites
from an introductory course on functional analysis at our faculty (as well as on
further aspects of the current course) are, besides Werner's chapters I-VI:

J. B. Conway: A Course in Functional Analysis. Springer-Verlag 2010.

G. Teschl: Topics in Real and Functional Analysis.
Lecture Notes, University of Vienna, winter term 2013/14.
http://www.mat.univie.ac.at/˜gerald/ftp/book-fa/index.html

- more hints to literature will be found in the lecture notes.

Association in the course directory

MANF

Last modified: We 27.04.2022 00:25