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


  • Ömer Gök Yildiz Technical University.



Reflexivity, Boolean algebra, Quasicomplete


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.

Author Biography

Ömer Gök, Yildiz Technical University.

Department of Mathematics, Faculty of Arts and Sciences.


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How to Cite

Ömer Gök, “The dual bade theorem in locally convex spaces and reflexivity of a closed unital subalgebra”, Proyecciones (Antofagasta, On line), vol. 18, no. 1, pp. 77-89, Apr. 2018.