Characterizations of Daugavet points and delta-pointsin Lipschitz-free spaces
Triinu Veeorg
Abstract
A norm $1$ element $x$ of a Banach space is a Daugavet point (respectively, a $\Delta $-point) if every slice of the unit ball (respectively, every slice of the unit ball containing $x$) contains an element which is at distance almost 2 from $x$. We chara
Topics & Concepts
MathematicsUnit sphereLipschitz continuityBall (mathematics)Norm (philosophy)Banach spaceCombinatoricsMathematical analysisPure mathematicsLawPolitical scienceAdvanced Banach Space TheoryOptimization and Variational AnalysisFixed Point Theorems Analysis