Ali Hassanzadeh
Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
[ 1 ] - A cone theoretic Krein-Milman theorem in semitopological cones
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.
[ 2 ] - Bishop-Phelps type Theorem for Normed Cones
In this paper the notion of support points of convex sets in normed cones is introduced and it is shown that in a continuous normed cone, under the appropriate conditions, the set of support points of a bounded Scott-closed convex set is nonempty. We also present a Bishop-Phelps type Theorem for normed cones.
نویسندگان همکار