Geometric properties in Orlicz spaces, direct sums and Banach spaces of vector-valued functions



Dr. Jan-David Hardtke

Financial support:

Deutsche Forschungsgemeinschaft (DFG)


Feb 01, 2017 — Sep 30, 2017

The aim of this project is to study various types of rotundity and smoothness properties in infinite direct sums of Banach spaces, Köthe-Bochner spaces of vector-valued functions (which include Lebesgue-Bochner and Orlicz-Bochner spaces as special cases), and more generally in so called direct integrals of Banach spaces. The latter class is a natural generalisation of both direct sums and Köthe-Bochner spaces.