Topics in Functional Analysis
SoSe 2022
Instructor: David Kerr
Lectures: Monday and Thursday, 8:15-10:00, starting April 4
This second course in functional analysis will explore various phenomena in Banach spaces and operator theory
around the themes of groups, geometry, measure, and combinatorics.
Topics to be covered include unitary representations of groups, amenability, property (T), expanders, Rosenthal's l1 theorem,
the Sauer-Shelah lemma, the Elton-Pajor theorem, entropy, the Johnson-Lindenstrauss lemma, concentration of measure, and Dvoretzky's theorem.
Resources:
- M. Einsiedler and T. Ward, Functional Analysis, Spectral Theory, and Applications
- G. J. Murphy, C*-Algebras and Operator Theory
- D. Kerr and H. Li, Ergodic Theory: Independence and Dichotomies
- B. Bekka, P. de la Harpe, and A. Valette, Kazhdan's Property (T)
- G. Pisier, The Volume of Convex Bodies and Banach Space Geometry
- M. Ledoux, The Concentration of Measure Phenomenon
- R. Vershynin, High-Dimensional Probability
- E. Meckes, The Random Matrix Theory of the Classical Compact Groups
More information will be posted in Learnweb.