Some forms of the banach-steinhaus theorem In the locally convex cones
| dc.contributor.author | Ranjbari, Asghar | |
| dc.date.accessioned | 2024-07-12T20:51:27Z | |
| dc.date.available | 2024-07-12T20:51:27Z | |
| dc.date.issued | 2009 | en_US |
| dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | A cone is a set P endowed with an addition and a scalar multiplication for non-negative real numbers. The addition is associative and commutative, and there is a neutral element 0 ? P. For the scalar multiplication the usual associative and distributive properties hold. We have 1a = a and 0a = 0 for all a ? P. A preordered cone is a cone with a reflexive transitive relation ? which is compatible with the algebraic operations. A subset V of the preordered cone P is called an (abstract) 0-neighborhood system, if V is a subcone without zero directed towards 0. We call (P, V) a full locally convex cone, and each subcone of P, not necessarily containing V, is called a locally convex cone. We require the elements of a locally convex cone to be bounded below, i.e. for every a ? P and v ? V we have 0 ? a + ?v for some ? > 0. We verify some forms of the Banach-Steinhaus Theorem in the locally convex cones. | en_US |
| dc.identifier.citation | Ranjbari, A. (2009). Some forms of the banach-steinhaus theorem In the locally convex cones. Maltepe Üniversitesi. s. 114. | en_US |
| dc.identifier.endpage | 115 | en_US |
| dc.identifier.isbn | 9.78605E+12 | |
| dc.identifier.startpage | 114 | en_US |
| dc.identifier.uri | https://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=331 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2416 | |
| dc.institutionauthor | Ranjbari, Asghar | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | International Conference of Mathematical Sciences | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY07781 | |
| dc.title | Some forms of the banach-steinhaus theorem In the locally convex cones | en_US |
| dc.type | Conference Object | |
| dspace.entity.type | Publication |
