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

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Abstract

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.

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References

  1. Aragona J.,On The Holomorphical Classification of Spaces of Holomorphic Germs. Nagoya Math. A.84 (1981), 85–118.

    MATH  MathSciNet  Google Scholar 

  2. Bochnak J., Siciak J.,Polynomials and Multilinear Mappings in Topological Vector Spaces. Studia Math.39 (1971), 59–76.

    MATH  MathSciNet  Google Scholar 

  3. Bourbaki N.,Espaces Vectoriels Topologiques. Chapitres 1, 2, 3, 4 et 5. Hermann (1966) and (1967).

  4. Bourbaki N.,Topologie Genérale, Chapitres 10. Hermann (1967).

  5. Caldas M.,Uma Generalizaccão não-Arquimediana do Teorema de Mahowald para Espaccos d-Tonelados. Portugaliae Math.49 (1992), 241–247.

    MATH  Google Scholar 

  6. Caldas M.,On Holomorphically Sequentially Barrelled and Holomorphically Sequentially Infrabarrelled Spaces. Bull. Inst. Math. Ac. Sinica18 (1990), 67–75.

    MATH  Google Scholar 

  7. Dincen S.,Complex Analysis in Locally Convex Spaces. North Holland Math. Studies57 (1981).

  8. Husain T.,Two New Classes of Locally Convex Spaces. Math. Ann166 (1966), 289–299.

    Article  MATH  MathSciNet  Google Scholar 

  9. Kothe G.,Topological Vector Spaces II. Springer-Verlag (1979).

  10. Monna A.F.,Espaces Localement Convexes Sur Un Corps Valué. Proc. Kon. Ned. Akad. v. WetenschA62 (1959), 391–405.

    MathSciNet  Google Scholar 

  11. Monna A.F.,Analyse non-Archimédienne. Ergbnisse der Math.56 (1970), Springer-Verlag.

  12. Nachbin L.,Topology On Spaces of Holomorphic Mappings. Ergbnisse der Math.47 (1969), Springer-Verlag.

  13. Pombo D.P.Jr.,Polynomials in Topological Vector Spaces over Valued Fields. Rend. Circ. Mat. Palermo37 (1988), 416–430.

    Article  MATH  MathSciNet  Google Scholar 

  14. Pombo D.P.Jr.,On Polynomial Classification of Locally Convex Spaces. Studia Math.78 (1984), 39–57.

    MATH  MathSciNet  Google Scholar 

  15. Springer T.A.,Une Notion de Compacité dans la Théorie des Espaces Vectoriels Topologiques. Indag. Math.68 (1965), 182–189.

    MathSciNet  Google Scholar 

  16. Van Der Put M., Van Tiel J.,Espaces Nucléaires non-Arquimédiens. Proc. Kon. Ned. Akad. Wtensch70 (1967), 556–561.

    Google Scholar 

  17. Van Tiel J.,Espaces Localement K-Convexes. Indag. Math.27 (1965), 249–289.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Departamento De Matemática Aplicada, Universidade Federal Fluminense-IMUFF, Rua São Paulo S/N-CEP, 24210, Niteroi, RJ, Brasi

    Miguel Caldas Cueva

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  1. Miguel Caldas Cueva
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Cueva, M.C. Polynomials versions of numerable type on non-archimedean locally convex spaces. Rend. Circ. Mat. Palermo 43, 5–15 (1994). https://doi.org/10.1007/BF02844813

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  • DOI: https://doi.org/10.1007/BF02844813

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