250067 VO Locally convex spaces (2017S)
Labels
Details
Language: English
Examination dates
Monday
24.07.2017
Friday
27.10.2017
Monday
20.08.2018
Thursday
08.11.2018
Friday
01.03.2019
Thursday
08.08.2019
Monday
10.05.2021
Lecturers
Classes (iCal) - next class is marked with N
We will fix a convenient day and time for the lecture in the first meeting on March 2.
Thursday
02.03.
09:00 - 09:45
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
03.03.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
10.03.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
17.03.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
24.03.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
31.03.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
07.04.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
28.04.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
05.05.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
12.05.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
19.05.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
26.05.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
02.06.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
09.06.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
16.06.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
23.06.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Friday
30.06.
13:15 - 15:45
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Information
Aims, contents and method of the course
Assessment and permitted materials
Oral examination.
Minimum requirements and assessment criteria
Ability to reproduce notions and results presented during the lecture, and to prove these results.
Examination topics
Lecture notes will be made available during the semester.
Reading list
- A. Grothendieck. Topological vector spaces.
- J. Horvath. Topological vector spaces and distributions.
- H. Jarchow. Locally Convex Spaces.
- L. Narici and E. Beckenstein. Topological Vector Spaces.
- A. P. Robertson and W. Robertson. Topological vector spaces.
- H. H. Schaefer. Topological vector spaces.
- J. Horvath. Topological vector spaces and distributions.
- H. Jarchow. Locally Convex Spaces.
- L. Narici and E. Beckenstein. Topological Vector Spaces.
- A. P. Robertson and W. Robertson. Topological vector spaces.
- H. H. Schaefer. Topological vector spaces.
Association in the course directory
MANV
Last modified: Tu 11.05.2021 00:22
- Topological vector spaces
- Locally convex spaces (LCS)
- Duality theory for LCS
- Important classes of LCS
- The theorems of Hahn-Banach, Banach-Steinhaus and the closed graph theorem.Depending on available time and interests of the audience, this may be supplemented by additional material as for example
- classes of linear operators on LCS
- topological tensor productsExcept for general topology and some linear algebra, no prerequisites are necessary, although we will draw connections to functional analysis where possible.