Some remarks on farthest points

• Autores: V. Montesinos, Peter Zizler, V. Zizler
• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 105, Nº. 1, 2011, págs. 119-131
• Idioma: inglés
• DOI: 10.1007/s13398-011-0012-z
• Texto completo no disponible (Saber más ...)
• Resumen

  • We use renormings and generic differentiability of convex functions to prove some results on farthest points in sets in Banach spaces. As a corollary, we obtain an alternative proof of the Lindenstrauss-Troyanski result on representation of weakly compact convex sets by means of strongly exposed points. We use this approach to simplify former proofs of several known results in this area. © 2011 Springer-Verlag.

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