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250068 VO Selected topics in functional analysis: Dual systems (2009W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Tuesday 13.10. 15:00 - 17:00 Seminarraum
Tuesday 20.10. 15:00 - 17:00 Seminarraum
Tuesday 27.10. 15:00 - 17:00 Seminarraum
Tuesday 03.11. 15:00 - 17:00 Seminarraum
Tuesday 10.11. 15:00 - 17:00 Seminarraum
Tuesday 17.11. 15:00 - 17:00 Seminarraum
Tuesday 24.11. 15:00 - 17:00 Seminarraum
Tuesday 01.12. 15:00 - 17:00 Seminarraum
Tuesday 15.12. 15:00 - 17:00 Seminarraum
Tuesday 12.01. 15:00 - 17:00 Seminarraum
Tuesday 19.01. 15:00 - 17:00 Seminarraum
Tuesday 26.01. 15:00 - 17:00 Seminarraum

Information

Aims, contents and method of the course

Bounded subsets of topological vector spaces; barreled and bornological locally convex spaces. Dual systems, S-topologies, Hahn-Banach separation theorem, bipolar theorem, Mackey-Arens theorem.

Assessment and permitted materials

oral final exam after the course

Minimum requirements and assessment criteria

the obvious ones

Examination topics

as to content: all mathematical techniques;
as to organizing the process of teaching and learning: see pages 3-4 of

http://studienservicecenter.univie.ac.at/fileadmin/user_upload/SSC/
SSC_Mathematik/Diplomstudium/Studienplan/Studienplan_Mathematik.pdf

Reading list

Schaefer, H. H., Topological Vector Spaces, third printing corrected, Springer, New York, 1971

see also http://www.mat.univie.ac.at/~stein/lehre/WS0809/literature_lcvs.pdf (by permission of Roland Steinbauer)

Association in the course directory

MANV

Last modified: Mo 07.09.2020 15:40