702717 Subject-Specific Fundamentals and Core Skills 1: Geometry, Measure and Banach Spaces
winter semester 2020/2021 | Last update: 09.09.2020 | Place course on memo list702717
Subject-Specific Fundamentals and Core Skills 1: Geometry, Measure and Banach Spaces
VU 4
7,5
weekly
annually
English
Students who have completed the course have
understood the content of the lectures and are able to reproduce and to apply it. They are able to acquire similar contents independently.
We discuss some aspect of the interplay between geometry, measure theory and Banach spaces. The planned topics include: classical geomtric inqualities, John's theorem, Dvoretzky's theorem, the theory of L1 -spaces, vector measures, the complemented subspace problem.
Continuous assessment (based on regular written and/or oral contribution by participants).
Course examination according to § 7, statute section on "study-law regulations"
- G. Aubrun, S.J. Szarek: Alice and Bob meet Banach. American Mathematical Society, Providence, RI, 2017
- S. Artstein-Avidan, A. Giannopoulos; V.D. Milman: Asymptotic geometric analysis. Part I. American Mathematical Society, Providence, RI, 2015
- F. Albiac, Fernando, N.J. Kalton: Topics in Banach space theory. Springer, 2016
see dates
- Faculty of Mathematics, Computer Science and Physics