On the Algebraic Dimension Of Banach Spaces Over Non-Archimedean Valued Fields Of Arbitrary Rank

• Ochsenius, Herminia ^[1] ; Schikhof, W. H. ^[2]
  1. [1] Pontificia Universidad Católica de Chile

     Pontificia Universidad Católica de Chile

     Santiago, Chile

     
  2. [2] Radboud University, The Netherlands.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 26, Nº. 3, 2007, págs. 237-244
• Idioma: inglés
• DOI: 10.4067/S0716-09172007000300001
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• Resumen

  • Let K be a complete non-archimedean valued field of any rank, and let E be a K-Banach space with a countable topological base. We determine the algebraic dimension of E (2.3, 2.4, 3.1).

• Referencias bibliográficas
  • Citas [1] T. Jech. Set Theory. San Diego: Academic Press. U. S. A., (1978).
  • [2] G. Köthe. Topological Vector spaces. New York: Springer-Verlag, (1969).
  • [3] H. Ochsenius and W. Schikhof. Banach spaces over fields with an in- finite rank valuation. In: p-adic Functional Analysis, Lecture Notes...