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Normed barrelled spaces

  • Stuart, Christopher [1]
    1. [1] New Mexico State University

      New Mexico State University

      Estados Unidos

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 5, 2020, págs. 1267-1273
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-2020-05-0077
  • Enlaces
  • Resumen
    • Several conditions are given that imply barrelledness of a normed linear space. Also, examples of spaces that satisfy these properties are given.

  • Referencias bibliográficas
    • P. Antosik and C. Swartz, Matrix methods in analysis. Berlin: Springer, 1985, doi: 10.1007/BFb0072264
    • G. Bennett, “Some inclusion theorems for sequence spaces”, Pacific journal of mathematics, vol. 46, no. 1, pp. 17-30, 1973. [On line]. Available:...
    • N. Dunford and J. T. Schwartz, Linear operators: general theory, vol. 1. New York, NY: Interscience, 1958.
    • C.E. Stuart and P. Abraham, “Generalizations of the Nikodym boundedness and Vitali-Hahn-Saks theorems”, Journal of mathematical analysis and...
    • C. Swartz, An introduction to functional analysis. New York, NY: Dekker, 1992.

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