A new ensemblist difference

• Autores: K. Pichard
• Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort, 2003, ISBN 84-96214-04-4, págs. 491-498
• Idioma: inglés
• Enlaces
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• Resumen

  • We introduce a new operation for the difference of two sets A and C of IRn depending on a parameter a. This operation may yield as special cases the classical difference and the Minkowski difference. Continuity properties with respect to both the operands and the parameter of this operation are studied. Lipschitz properties of the Minkowski difference between two sets of a normed vector space are proved in the bounded case as well as in the unbounded case without condition on the dimension of the space, improving previous results.