Thin sets of constant width |
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| Authors: | Elisabetta Maluta David Yost |
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| Affiliation: | 1. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, MI, Italy;2. Centre for Informatics and Applied Optimisation, Federation University, PO Box 663, Ballarat 3353, Australia |
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| Abstract: | We prove that every Banach space which admits an unconditional basis can be renormed to contain a constant width set with empty interior, thus guaranteeing, for the first time, existence of such sets in a reflexive space. In the isometric case we prove that normal structure is characterized by the property that the class of diametrically complete sets and the class of sets with constant radius from the boundary coincide. |
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| Keywords: | Constant width Diametrically complete set Reflexive space Normal structure |
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