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A cone theoretic Krein-Milman theorem in semitopological cones
Journal: Sahand Communications in Mathematical Analysis (Vol.9, No. 1)Publication Date: 2018-01-01
Authors : Ali Hassanzadeh; Ildar Sadeqi;
Page : 143-150
Keywords : $T_0$ topology; Extreme Point; Krein-Milman type theorem;
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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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Last modified: 2018-02-03 20:15:59