Mazur Sets in Normed Spaces |
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| Authors: | A S Granero J P Moreno and R R Phelps |
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| Institution: | (1) Departamento Análisis Matemático, Facultad de Matemáticas, Universidad Complutense, Madrid 28040, Spain;(2) Departamento Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Madrid 28049, Spain;(3) Department of Mathematics, University of Washington, Seattle, WA 98195, USA |
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| 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 l1n 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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| Keywords: | Convex bodies Mazur sets |
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