@article { author = {Nikoufar, Ismail}, title = {Convex functions on compact $C^*$-convex sets}, journal = {Wavelet and Linear Algebra}, volume = {7}, number = {1}, pages = {57-62}, year = {2020}, publisher = {Vali-e-Asr university of Rafsanjan}, issn = {2383-1936}, eissn = {2476-3926}, doi = {10.22072/wala.2020.120065.1268}, abstract = {It is well known that if a real valued convex function on a compact convex domaincontained in the real numbers attains its maximum,then it does so at least at one extreme point of its domain.In this paper,we consider a matrix convex function on a compact and $C^*$-convex set generated by self--adjoint matrices.An important issue is so that this function on a compact and $C^*$-convex domain attains its maximum at a $C^*$-extreme point.}, keywords = {$C^*$-convex set,$C^*$-extreme point,convex function,matrix convex function}, title_fa = {توابع محدب روی مجموعه های فشرده سی استار محدب}, abstract_fa = {}, keywords_fa = {}, url = {https://wala.vru.ac.ir/article_46688.html}, eprint = {https://wala.vru.ac.ir/article_46688_b02b10ef9342d22591d649f2ac01f2dc.pdf} }