The dual bade theorem in locally convex spaces and reflexivity of a closed unital subalgebra

• Gök, Ömer ^[1]
  1. [1] Yıldız Technical University

     Yıldız Technical University

     Turquía

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 18, Nº. 1, 1999, págs. 77-89
• Idioma: inglés
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• Resumen

  • The results presented in this paper extend a dual version of the reflexivity theorem of W. Bade to locally convex spaces. Dual versión of the Bade theorem in a Banach C(K)-module was firstly discovered in [1]. It is our aim to extend it to a locally convex C(K)-module. As a consequence, it is proven that each unital w* operator topology closed subalgebra of the w* operator topology closed algebra generated by a Boolean algebra of projections is reflexive.