Proximinality and renormings: Some new examples

• Autores: Gilles Godefroy , Indumathi Vedarethinam
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 176, Nº 1, 2013, págs. 118-128
• Idioma: inglés
• DOI: 10.1016/j.jat.2013.09.004
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• Resumen

  • We give an example of a strongly Chebyshev hyperplane H in a non-reflexive Banach space X that is not Ball proximinal. We investigate Banach spaces for which the set of finite-codimensional proximinal subspaces is a lattice.