An Orlicz-Pettis theorem for conditionally convergent series

• Stuart, Christopher E. ^[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. 12, Nº. 2, 1993, págs. 155-159
• Idioma: inglés
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• Resumen

  • in this note we define the idea of signed subseries convergent series in a normed linear space, and establish a result analogous to the Orlicz-Pettis theorem; namely, that weakly siqned subseries convergent series are norm signed subseries convergent.