Polar Topologies on sequence spaces in non-archimedean analysis

• Ameziane, R. ^[1] ; El Amrani, Abdelkhalek ^[1] ; Babahmed, Mohammed ^[2]
  1. [1] Sidi Mohamed Ben Abdellah University

     Sidi Mohamed Ben Abdellah University

     Fes-Medina, Marruecos

     
  2. [2] Université Moulay Ismaïl.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 2, 2012, págs. 103-123
• Idioma: inglés
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• Resumen

  • The purpose of the present paper is to develop a theory of a duality in sequence spaces over a non-archimedean vector space. We introduce polar topologies in such spaces, and we give basic results characterizing compact, C-compact, complete and AK —complete subsets related to these topologies.