Browsing AURA by Author "Martiny, Andre"

Now showing items 1-4 of 4

    • Asymptotic geometry and Delta-points 

      Abrahamsen, Trond Arnold; Lima, Vegard; Martiny, Andre; Perreau, Yoël (Peer reviewed; Journal article, 2022)
      We study Daugavet- and Δ-points in Banach spaces. A norm one element x is a Daugavet-point (respectively, a Δ-point) if in every slice of the unit ball (respectively, in every slice of the unit ball containing x) you can ...

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

      Martiny, Andre (Doctoral Dissertations at the University of Agder; no. 335, Doctoral thesis, 2021)
      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 ...

    • Delta-points and their implications for the geometry of Banach spaces 

      Abrahamsen, Trond Arnold; Aliaga, Ramon J.; Lima, Vegard; Martiny, Andre; Perreau, Yoël; Prochazka, Antonín; Veeorg, Triinu (Peer reviewed; Journal article, 2024)

    • Two properties of Müntz spaces 

      Abrahamsen, Trond Arnold; Leraand, Aleksander; Martiny, Andre; Nygaard, Olav Kristian (Journal article; Peer reviewed, 2017)
      We show that Müntz spaces, as subspaces of C[0, 1], contain asymptotically isometric copies of c0 and that their dual spaces are octahedral.