Ir al contenido

Documat


The Mackey-Arens theorem for non-locally convex spaces

  • Autores: Jerzy Kakol Árbol académico
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 41, Fasc. 2, 1990, págs. 129-132
  • Idioma: inglés
  • Títulos paralelos:
    • El teorema de Mackey-Arens para espacios no localmente convexos
  • Enlaces
  • Resumen
    • Let R be a subcategory of the category of all topological vector spaces. Let E be an element of R. The problem of the existence of the finest R-topology on E with the same continuous linear functionals as the original one is discussed. Remarks concerning the Hahn-Banach Extension Property are included.

  • Referencias bibliográficas
    • N. Adasch, B. Ernst, D. Keim, Topological Vector Spaces, Springer-Verlag, Berlin, 1978.
    • H. Jarchow, Locally Convex Spaces, Stuttgart, 1981.
    • N. J. Kalton, Basic sequences in F-spaces and their applications, Proc. Edinb. Math. Soc. 19 (1974), 151–167.
    • N. J. Kalton, N. T. Peck, J. W. Roberts, An F-Space Sampler, London Math. Soc. Lecture Notes Series Vol. 89, Cambridge University Press, Cambridge,...
    • J. Kąkol, Note on compatible vector topologies, Proc. Amer. Math. Soc. 99 (1987), 690–692.
    • J. Kąkol, Compatible vector topologies and quotients of F-spaces, Teubner-Texte zur Math. 19 (1986), 164–170.
    • V. Klee, Exotic topologies for linear spaces, in Symposium on General Topology and its Relation to Modern Algebra, Prague, 1961.
    • N. T. Peck, H. Porta, Linear topologies which are suprema of dual-less topologies, Studia Math. 37 (1973), 63–73.
    • W. Roelcke, S. Dierolf, On the three space problem for topological vector spaces, Collect. Math. 32 (1981), 3–25.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno