A cone theoretic Krein-Milman theorem in semitopological cones

Authors

  • Ali Hassanzadeh Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
  • Ildar Sadeqi Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
Abstract:

In this paper, a Krein-Milman  type theorem in $T_0$ semitopological cone is proved,  in general. In fact, it is shown that in any locally convex $T_0$ semitopological cone, every convex compact saturated subset is the compact saturated convex hull of its extreme points, which improves the results of Larrecq.

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Journal title

volume 09  issue 1

pages  143- 150

publication date 2018-01-01

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