Weakly c'-compact subsets of non-archimedean Banach spaces over a spherically complete field

• Autores: S. Borrey
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 40, Fasc. 1, 1989, págs. 31-53
• Idioma: inglés
• Títulos paralelos:
  • Subconjuntos débilmente c'-compactos de espacios de Banach no arquimedianos sobre un campo esféricamente completo
• Enlaces
  • Texto completo
• Resumen

  • Each weakly $c’$-compact subset of a locally convex space over a spherically complete non-archimedean field with dense valuation is a pure compactoid.\newline This is an answer to an open problem posed by W.H.Schikhof [4].

• Referencias bibliográficas
  • J. M. Bayod and J. Marińcz-Maurica, A characterization of the spherically complete normed spaces with a distinguished base, Comp. Math. 49...
  • W. H. Schikhof, Finite Dimensional Convexity, Report 8538, Dept. of Math., Catholic University, Toernooiveld, 1985.
  • W. H. Schikhof, Topological Stability of $p$-adic Compactoids under Continuous Injections, Report 8644, Dept. of Math., Catholic University,...
  • W. H. Schikhof, Weakly $c'$-compactness in $p$-adic Banach Spaces, Report 8648, Dept. of Math., Catholic University, Toernooiveld, 1986.
  • A. C. M. Van Rooij, Notes on $p$-adic Banach Spaces VI, Convexity, Report 7725, Dept. of Math., Catholic University, Toernooiveld, 1977.