TY - JOUR ID - 3099 TI - A note on product topologies in locally convex cones JO - Journal of Mahani Mathematical Research JA - JMMR LA - en SN - 2251-7952 AU - Motallebi, Mohammad Reza AD - University of Mohaghegh Ardabili, Ardabil, Iran. Y1 - 2022 PY - 2022 VL - 11 IS - 1 SP - 61 EP - 67 KW - Products cone topologies KW - weak cone-completeness KW - barreledness DO - 10.22103/jmmrc.2021.18239.1170 N2 - We consider the locally convex product cone topologies and prove that the product topologyof weakly cone-complete locally convex cones is weakly cone-complete. In particular, we deduce that a product cone topology is barreled whenever its components are weaklycone-complete and carry the countable neighborhood bases. UR - https://jmmrc.uk.ac.ir/article_3099.html L1 - https://jmmrc.uk.ac.ir/article_3099_d567e782b799e3603b5085cc8abe30b3.pdf ER -