@article{Jafarizad_Ranjbari_2021, title={Some applications of the open mapping theorem in locally convex cones}, volume={73}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/222}, DOI={10.37863/umzh.v73i3.222}, abstractNote={<p>UDC 515.12</p> <p>We show that a continuous open linear operator preserves the completeness and barreledness in locally convex cones.<span class="Apple-converted-space">&nbsp;&nbsp;</span>Specially, we prove some relations between an open linear operator and its adjoint in<span class="Apple-converted-space">&nbsp; </span>$uc$-cones (locally convex cones which their convex quasi-uniform structures are generated by one element).</p> <p>&nbsp;</p&gt;}, number={3}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Jafarizad, S. and Ranjbari, A.}, year={2021}, month={Mar.}, pages={425 - 430} }