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- W2964305320 abstract "We analyse the relationship between different extremal notions in Lipschitz free spaces (strongly exposed, exposed, preserved extreme and extreme points). We prove in particular that every preserved extreme point of the unit ball is also a denting point. We also show in some particular cases that every extreme point is a molecule, and that a molecule is extreme whenever the two points, say x and y, which define it satisfy that the metric segment [x, y] only contains x and y. The most notable among them is the case when the free space admits an isometric predual with some additional properties. As an application, we get some new consequences about norm attainment in spaces of vector-valued Lipschitz functions." @default.
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- W2964305320 date "2018-03-23" @default.
- W2964305320 modified "2023-10-10" @default.
- W2964305320 title "Extremal Structure and Duality of Lipschitz Free Spaces" @default.
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- W2964305320 doi "https://doi.org/10.1007/s00009-018-1113-0" @default.
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