Abstract
In this paper we investigate different questions concerning Mazur sets in normed spaces, which point out the close connections between geometric functional analysis and discrete geometry. Motivated by a result of Chen and Lin, we study the relationship between Mazur disks and weak* denting points of the dual unit ball. We prove that the only Mazur sets of the spaces l 1 n are points and closed balls. Finally, a new stability property for the family of all sets which are intersections of closed balls is found.
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Granero, A., Moreno, J. & Phelps, R. Mazur Sets in Normed Spaces. Discrete Comput Geom 31, 411–420 (2004). https://doi.org/10.1007/s00454-003-0808-5
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DOI: https://doi.org/10.1007/s00454-003-0808-5