Rotund and uniformly rotund Banach spaces

• Autores: Vicente Montesinos Santalucía , Juan Ramón Torregrosa Sánchez
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 2, 1991, págs. 137-146
• Idioma: inglés
• Títulos paralelos:
  • Espacios de Banach rotundos y uniformemente rotundos
• Enlaces
  • Texto completo
• Resumen

  • In this paper we prove that the geometrical notions of Rotundity and Uniform Rotundity of the norm in a Banach space are stable for the generalized Banach products.

• Referencias bibliográficas
  • J.A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc., 40 (1936), 396–414.
  • M.M. Day, Some more uniformly convex spaces, Bull. Amer. Math. Soc., 47 (1941), 504–507.
  • M.M. Day, Reflexive Banach spaces not isomorphic to uniformly convex spaces, Bull. Amer. Math. Soc., 47 (1941), 313–317.
  • M.M. Day, Strict convexity and smoothness of normed spaces, Trans. Amer. Math. Soc., 78 (1955), 516–528.
  • R. Huff, Banach spaces which are Nearly uniformly convex, Rocky Mountain Journal of Mathematics, 10, 4 (1980), 743–749.
  • J. Lindenstrauss and L. Tzafriri, Classical Banach spaces I, Springer-Verlag, 1977.