(*) Unfortunately this information is not available in english.
Workload
Education level
Study areas
Responsible person
Hours per week
Coordinating university
1,5 ECTS
B3 - Bachelor's programme 3. year
Mathematics
Richard Lechner
1 hpw
Johannes Kepler University Linz
Detailed information
Original study plan
Bachelor's programme Technical Mathematics 2025W
Learning Outcomes
Competences
In this course, students gain a solid understanding of locally convex spaces and new concepts of continuity Hahn-Banach theorem, the
bipolar theorem and distributions.
Skills
Knowledge
Proving the continuity of linear mappings
Constructing linear continuous extensions
Applying continuity concepts (weak topologies)
Producing existence proofs using compactness arguments (Bourbaki--Alaoglu)
Extending classical operations (such as differentiation, Fouriertransforms) to suitable spaces of distributions
Introduction to locally convex spaces, continuity in locally convex spaces, weak topologies, the Hahn-Banach theorem, the bipolar theorem
and distributions.
Criteria for evaluation
(*)Vortrag der selbst erarbeiteten Übungsaufgaben an der Tafel.
Language
English and French
Study material
(*)Werner, "Funktionalanalysis"
Changing subject?
No
Earlier variants
They also cover the requirements of the curriculum (from - to) TM1WKUEDIST: UE Distributions and locally convex spaces (2002S-2024S)
