Polynomials versions of numerable type on non-archimedean locally convex spaces

  • Miguel Caldas Cueva


The purpose of this article is to present some recent developments about polynomial conditions of denumerable type barrelledness between non-archimedean locally convex spaces over a non-trivially valued field of characteristic zero.


Topological Vector Space Convex Space Metrizable Space Numerable Type Countable Union 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Aragona J.,On The Holomorphical Classification of Spaces of Holomorphic Germs. Nagoya Math. A.84 (1981), 85–118.MATHMathSciNetGoogle Scholar
  2. [2]
    Bochnak J., Siciak J.,Polynomials and Multilinear Mappings in Topological Vector Spaces. Studia Math.39 (1971), 59–76.MATHMathSciNetGoogle Scholar
  3. [3]
    Bourbaki N.,Espaces Vectoriels Topologiques. Chapitres 1, 2, 3, 4 et 5. Hermann (1966) and (1967).Google Scholar
  4. [4]
    Bourbaki N.,Topologie Genérale, Chapitres 10. Hermann (1967).Google Scholar
  5. [5]
    Caldas M.,Uma Generalizaccão não-Arquimediana do Teorema de Mahowald para Espaccos d-Tonelados. Portugaliae Math.49 (1992), 241–247.MATHGoogle Scholar
  6. [6]
    Caldas M.,On Holomorphically Sequentially Barrelled and Holomorphically Sequentially Infrabarrelled Spaces. Bull. Inst. Math. Ac. Sinica18 (1990), 67–75.MATHGoogle Scholar
  7. [7]
    Dincen S.,Complex Analysis in Locally Convex Spaces. North Holland Math. Studies57 (1981).Google Scholar
  8. [8]
    Husain T.,Two New Classes of Locally Convex Spaces. Math. Ann166 (1966), 289–299.MATHCrossRefMathSciNetGoogle Scholar
  9. [9]
    Kothe G.,Topological Vector Spaces II. Springer-Verlag (1979).Google Scholar
  10. [10]
    Monna A.F.,Espaces Localement Convexes Sur Un Corps Valué. Proc. Kon. Ned. Akad. v. WetenschA62 (1959), 391–405.MathSciNetGoogle Scholar
  11. [11]
    Monna A.F.,Analyse non-Archimédienne. Ergbnisse der Math.56 (1970), Springer-Verlag.Google Scholar
  12. [12]
    Nachbin L.,Topology On Spaces of Holomorphic Mappings. Ergbnisse der Math.47 (1969), Springer-Verlag.Google Scholar
  13. [13]
    Pombo D.P.Jr.,Polynomials in Topological Vector Spaces over Valued Fields. Rend. Circ. Mat. Palermo37 (1988), 416–430.MATHCrossRefMathSciNetGoogle Scholar
  14. [14]
    Pombo D.P.Jr.,On Polynomial Classification of Locally Convex Spaces. Studia Math.78 (1984), 39–57.MATHMathSciNetGoogle Scholar
  15. [15]
    Springer T.A.,Une Notion de Compacité dans la Théorie des Espaces Vectoriels Topologiques. Indag. Math.68 (1965), 182–189.MathSciNetGoogle Scholar
  16. [16]
    Van Der Put M., Van Tiel J.,Espaces Nucléaires non-Arquimédiens. Proc. Kon. Ned. Akad. Wtensch70 (1967), 556–561.Google Scholar
  17. [17]
    Van Tiel J.,Espaces Localement K-Convexes. Indag. Math.27 (1965), 249–289.Google Scholar

Copyright information

© Springer 1994

Authors and Affiliations

  • Miguel Caldas Cueva
    • 1
  1. 1.Departamento De Matemática AplicadaUniversidade Federal Fluminense-IMUFFNiteroiBrasi

Personalised recommendations