Prof. Dr. Jörg Eschmeier

M.Sc. Sebastian Langendörfer

9 ECTS

Wednesday, 19/04/17, 10 am

The lecture will be an introduction into the theory of locally convex spaces. Many spaces occuring in Analysis, including spaces of analytic functions, spaces of differentiable functions and their dual spaces, carry a natural topology which is not generated by a single norm, but rather by a family of norms or seminorms. It turns out that appropriate versions of the most important theorems from functional analysis still hold true in this more general setting. We also consider applications on important function spaces and distributions in this lecture.

Functional analyis

Regular and successful participation in exercise groups; 50% of the achievable points from the exercise sheets; Passing of an oral exam

Oral exam

To be agreed on with the lecturer at the end of the semester

As usual, you should register via HISPOS. If this is not possible for you, please contact Prof. Dr. Jörg Eschmeier to arrange an examination date.

There will be an Exercise group which will take place on Tuesdays, 2 pm in seminar room 1.

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Will be provided in the library.

• Floret, Wloka, Einführung in die Theorie der lokalkonvexen Räume
• Jarchow, Locally Convex Spaces
• Grothendieck, Topological Vector Spaces
• Meise, Vogt, Einführung in die Funktionalanalysis