The big slice phenomenon in Banach spaces. Diameter 2 properties, Daugavet- and delta-points

2021

Paper IV is excluded from the dissertation until it will be published. Preliminary theory will be presented prior to each result. We begin, in Subsection 1.2.1, by discussing Müntz spaces, which is the focus of the two first papers, “Two properties of Müntz spaces” and “Octahedrality and Müntz spaces”. In Subsection 1.2.2, we then discuss diameter two properties which is the recurring theme throughout the thesis. We end the summary, with Subsection 1.2.3, by presenting the results related to Daugavet- and delta-points, which form the focus of the papers “Daugavet- and delta-points in Banach spaces with unconditional bases” and “Delta-points in Banach spaces generated by adequate families…