Some applications of the open mapping theorem in locally convex cones

• Date: 2021
• Main Authors: Jafarizad, S., Ranjbari, A.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/222
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 515.12 We 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 c...