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On the Inexistence of Additive Equi-Lipschitzian Parametrizations of Compact Convex Subsets |
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| Authors: | Pedro Terán |
| Affiliation: | (1) Facultad de Ciencias Económicas y Empresariales, Departamento de Métodos Estadísticos, Grupo Decisión Multicriterio Zaragoza, Universidad de Zaragoza, Gran Vía, 2., E-50005 Zaragoza, Spain |
| Abstract: | A Banach space of dimension at least 2 does not admit an equi-Lipschitzian family of additive mappings parametrizing all non-empty compact convex sets. Examples of linear Lipschitzian as well as positively homogeneous equi-Lipschitzian parametrizations exist in the literature. |
| Keywords: | Castaing representation parametrization Steiner point type |
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