On convex functions on c0(w1)

• Autores: Petr Hájek
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 47, Fasc. 2, 1996, págs. 111-115
• Idioma: inglés
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• Resumen

  • It is proved that no convex and Fréchet differentiable function on $c_0(\omega_1)$, whose derivative is locally uniformly continuous, attains its minimum at a unique point.

• Referencias bibliográficas
  • R. Deville, G. Godefroy, V. Zizler, Smoothness and Renormings in Banach Spaces, Pitman Monographs and Surveys in Pure and Applied...