Browsing Department of Mathematical Sciences by Author "Abrahamsen, Trond Arnold"
Now showing items 1-9 of 9
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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) -
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.