Extremal characterizations of reflexive spaces

• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 82, Nº 3, 2007, págs. 429-439
• Idioma: inglés
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• Resumen

  • Assume that a Banach space has a Fréchet differentiable and locally uniformly convex norm. We show that the reflexive property of the Banach space is not only sufficient, but also a necessary condition for the fulfillment of the proximal extremal principle in nonsmooth analysis.