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Daugavet- and delta-points in Banach spaces with unconditional bases

2021
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Transactions of the American Mathematical Society. Series B
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We study the existence of Daugavet- and delta-points in the unit sphere of Banach spaces with a 1 1 -unconditional basis. A norm one element x x in a Banach space is a Daugavet-point (resp. delta-point) if every element in the unit ball (resp. x x itself) is in the closed convex hull of unit ball elements that are almost at distance 2 2 from x x . A Banach space has the Daugavet property (resp. diametral local diameter two property) if and only if every norm one element is a Daugavet-point

doi:10.1090/btran/68
fatcat:4qv5n7pvgjevbahgvscaq33avq