On some geometric properties in C(K,X) and C(K,X) spaces

• Autores: Antonio Aizpuru Tomás
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 45, Fasc. 3, 1994, págs. 277-286
• Idioma: español
• Enlaces
  • Texto completo
• Resumen

  • In this paper we relate the Bade property with some new geometric properties, similar to the $\lambda$–property (but certainly different), on $C(K,X$) spaces. We also study the Bade property and the $\lambda$–property in the $C(K,X)^\ast$ spaces.

• Referencias bibliográficas
  • A. Aizpuru and F. Benítez, The Bade property and the $\lambda$-property in spaces of convergent sequences, Collect. Math. 42, 3 (1991), 245–251.
  • R.M. Aron and R.H. Lohman, A geometric function determined by extreme points of the unit ball of a normed spaces, Pacific Journal of Math....
  • R.M. Aron, R.H. Lohman and A. Suarez, Problem Related to the Convex Series Representation Property and Rotundity in Banach Spaces, Proc. Amer....
  • W.G. Bade, The Banach space $C(S)$, Aarhus Univ. Lecture Notes 26, section 1 (1971).
  • F. Benítez, Estudio de los espacios $C(K,\Gamma)$ con $K$ compactificación $0$-dimensional de $\omega$, Universidad de Sevilla, 1989.
  • J. Brooks and P. Lewis, Linear operators and vector measures, Trans. of the Amer. Math. Soc. 192 (1974), 139–162.
  • Dugundji, An extension of Tietze’s theorem, Pacific J. Math. (1951), 353–367.
  • R.H. Lohman and T.J. Shura, Calculation of the $\lambda$-function for several classes of normed linear spaces, Proceedings in Honor of Ky...
  • R.H. Lohman and T.J. Shura, The $\lambda$-property for generalized direct sums of normed spaces, Bull. Australian Math. Soc. 41 (1990), 441–450.
  • J. Nagata, Modern General Topology, North-Holland Math. 33, (1985).
  • J.C. Navarro Pascual, Sobre la $\lambda$-propiedad en espacios de sucesiones convergentes, XV Jornadas Luso-Españolas de Matemáticas, 1990....
  • D. Oates, A sequentially convex hull, Bull. London Math. Soc. 22 (1990), 467–468.