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An abstract Orlics-Pettis theorem and applications

  • Ronglu, Li [1] ; Swartz, Charles [2]
    1. [1] Harbin Institute of Technology

      Harbin Institute of Technology

      China

    2. [2] New Mexico State University

      New Mexico State University

      Estados Unidos

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 2, 2008, págs. 155-169
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172008000200003
  • Enlaces
  • Resumen
    • In this paper we establish two abstract versions of the classical Orlicz-Pettis Theorem for multiplier convergent series. We show that these abstract results yield known versions of the Orlicz-Pettis Theorem for locally convex spaces as well as versions for operator valued series. We also give applications to vector valued measures and spaces of continuous functions.

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