Browsing AURA by Author "Lima, Vegard"
Now showing items 1-10 of 10
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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 ... -
Bounded approximation properties via integral and nuclear operators
Lima, Åsvald; Lima, Vegard; Oja, Eve (Journal article; Peer reviewed, 2010)Let X be a Banach space and let A be a Banach operator ideal. We say that X has the lambda-bounded approximation property for A (lambda-BAP for A) if for every Banach space Y and every operator T is an element of A(X, Y), ... -
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) -
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) -
On Daugavet indices of thickness
Haller, Rainis; Langemets, Johann; Lima, Vegard; Nadel, Rihhard; Rueda Zoca, Abraham (Peer reviewed; Journal article, 2021)Inspired by R. Whitley's thickness index the last named author recently introduced the Daugavet index of thickness of Banach spaces. We continue the investigation of the behavior of this index and also consider two new ... -
Relatively weakly open convex combinations of slices
Lima, Vegard; Abrahamsen, Trond Arnold (Journal article; Peer reviewed, 2018) -
Symmetric Strong Diameter Two Property
Haller, Rainis; Langemets, Johann; Lima, Vegard; Nadel, Rihhard (Peer reviewed; Journal article, 2019)