TY - JOUR
ID - 34906
TI - C*-Extreme Points and C*-Faces oF the Epigraph iF C*-Affine Maps in *-Rings
JO - Wavelet and Linear Algebra
JA - WALA
LA - en
SN - 2383-1936
AU - Ebrahimi Meymand, Ali
AD - Department of Mathematics, Faculty of mathematical sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Y1 - 2019
PY - 2019
VL - 5
IS - 2
SP - 21
EP - 28
KW - C*-affine map
KW - C*-convexity
KW - C*-extreme point
KW - C*-face
DO - 10.22072/wala.2018.90202.1184
N2 - Abstract. In this paper, we define the notion of C*-affine maps in the unital *-rings and we investigate the C*-extreme points of the graph and epigraph of such maps. We show that for a C*-convex map f on a unital *-ring R satisfying the positive square root axiom with an additional condition, the graph of f is a C*-face of the epigraph of f. Moreover, we prove some results about the C*-faces of C*-convex sets in *-rings. Keywords: C*-affine map, C*-convexity, C*-extreme point, C*-face. MSC(2010): Primary: 52A01; Secondary: 16W10, 46L89.
UR - http://wala.vru.ac.ir/article_34906.html
L1 - http://wala.vru.ac.ir/article_34906_0487fcfe738449107469d61b9fb0a584.pdf
ER -