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

Principal Investigator:

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.