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
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• 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.