Blar i AURA på forfatter "Abrahamsen, Trond Arnold"
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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 ... -
Banach spaces where convex combinations of relatively weakly open subsets of the unit ball are relatively weakly open
Abrahamsen, Trond Arnold; Becerra Guerrero, Julio; Haller, Rainis; Lima, Vegard; Poldvere, Mert (Journal article; Peer reviewed, 2020) -
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 ... -
Daugavet- and delta-points in Banach spaces with unconditional bases
Abrahamsen, Trond Arnold; Lima, Vegard; Troyanski, Stanimir (Journal article; Peer reviewed, 2021) -
Delta- and Daugavet points in Banach spaces
Abrahamsen, Trond Arnold; Haller, Rainis; Lima, Vegard; Pirk, Katriin (Journal article; Peer reviewed, 2020) -
New applications of extremely regular function spaces
Abrahamsen, Trond Arnold; Dovland, Olav; Poldvere, Mert (Peer reviewed; Journal article, 2019)Let L be an infinite locally compact Hausdorff topological space. We show that extremely regular subspaces of C0(L) have very strong diameter 2 properties and, for every real number ε with 0 <ε<1, contain an ε-isometric ... -
Polyhedrality and decomposition
Abrahamsen, Trond Arnold; Fonf, Vladimir P.; Smith, Richard J.; Troyanski, Stanimir (Journal article; Peer reviewed, 2018) -
Relatively weakly open convex combinations of slices
Lima, Vegard; Abrahamsen, Trond Arnold (Journal article; Peer reviewed, 2018) -
Strongly Extreme Points and Approximation Properties
Abrahamsen, Trond Arnold; Hájek, Petr; Nygaard, Olav Kristian; Troyanski, Stanimir (Journal article; Peer reviewed, 2018) -
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.