Geodesic
Daugavet- and Delta-Points in Absolute Sums of Banach Spaces
Journal of convex analysis, Tome 28 (2021) no. 1, pp. 41-54
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A Daugavet-point (resp. Δ-point) of a Banach space is a norm one element x for which every point in the unit ball (resp. element x itself) is in the closed convex hull of unit ball elements that are almost at distance 2 from x. A Banach space has the well-known Daugavet property (resp. diametral local diameter 2 property) if and only if every norm one element is a Daugavet-point (resp. Δ-point). Our results complement the ones of T.A.Abrahamsen, R.Haller, V.Lima and K.Pirk [Delta- and Daugavet-points in Banach spaces, Proc. Edinb. Math. Soc. 63/2 (2020) 475--496] concerning the existence of Daugavet- and Δ-points in absolute sums of Banach spaces.
Classification : 46B20, 46B04
Mots-clés : Daugavet property, Daugavet point, delta-point, absolute sum, diameter two property 
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     author = {R. Haller and K. Pirk and T. Veeorg},
     title = {Daugavet- and {Delta-Points} in {Absolute} {Sums} of {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {41--54},
     year = {2021},
     volume = {28},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2021_28_1_JCA_2021_28_1_a4/}
}
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R. Haller; K. Pirk; T. Veeorg. Daugavet- and Delta-Points in Absolute Sums of Banach Spaces. Journal of convex analysis, Tome 28 (2021) no. 1, pp. 41-54. http://geodesic.mathdoc.fr/item/JCA_2021_28_1_JCA_2021_28_1_a4/