TY - JOUR
ID - 24756
TI - A cone theoretic Krein-Milman theorem in semitopological cones
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Hassanzadeh, Ali
AU - Sadeqi, Ildar
AD - Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
Y1 - 2018
PY - 2018
VL - 09
IS - 1
SP - 143
EP - 150
KW - $T_0$ topology
KW - Extreme Point
KW - Krein-Milman type theorem
DO - 10.22130/scma.2018.24756
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_24756.html
L1 - https://scma.maragheh.ac.ir/article_24756_68b4ace761054de875c4f7f9863370f7.pdf
ER -