TY - JOUR AU - S. Jafarizad AU - A. Ranjbari PY - 2021/03/19 Y2 - 2024/03/29 TI - Some applications of the open mapping theorem in locally convex cones JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 73 IS - 3 SE - Short communications DO - 10.37863/umzh.v73i3.222 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/222 AB - UDC 515.12We show that a continuous open linear operator preserves the completeness and barreledness in locally convex cones.  Specially, we prove some relations between an open linear operator and its adjoint in  $uc$-cones (locally convex cones which their convex quasi-uniform structures are generated by one element).  ER -