Cancan, Murat2025-05-102025-05-1020111687-181210.1186/1687-1812-2011-482-s2.0-84902651535https://doi.org/10.1186/1687-1812-2011-48https://hdl.handle.net/20.500.14720/11713Cancan, Murat/0000-0002-8606-2274In this article, it is investigated some concepts of normed space like norming, thin-thick sets in cone locally convex spaces. It is also worked some impacts of thick sets over the uniform quasi-boundedness principles in cone locally convex spaces such that weak*-bounded sets are strong*-bounded iff the space is a B - M space. It is demonstrated that these principles emerge under some weaker conditions with aim to thick sets. Moreover, it is displayed that the concept of thick is a duality invariant, that is, all suitable topologies for some cone locally convex space have the same thick sets.eninfo:eu-repo/semantics/openAccessB - M SpaceCone Locally Convex SpaceNorming SetThin-Thick SetUniform Quasi-Boundedness PrincipleArticleN/AQ3WOS:000301147300002