| dc.contributor.author | Yılmaz, Ruşen | |
| dc.date.accessioned | 2020-12-19T20:12:49Z | |
| dc.date.available | 2020-12-19T20:12:49Z | |
| dc.date.issued | 2008 | |
| dc.identifier.citation | Yılmaz, R. (2008). Lattice operations of positive bilinear mappings. Taiwanese Journal of Mathematics, 12(1), 39-49. https://doi.org/10.11650/twjm/1500602487 | en_US |
| dc.identifier.issn | 1027-5487 | |
| dc.identifier.uri | https://doi.org/10.11650/twjm/1500602487 | |
| dc.identifier.uri | https://hdl.handle.net/11436/3938 | |
| dc.description.abstract | In this paper we establish extension theorems for additive mappings ? : A+ ×B+ ? C+, where A, B are Riesz spaces (lattice ordered spaces or vector lattices) and C is an order complete Riesz space, to the whole of A×B, therebyextendingwell-knownresults for additivemappingsbetween Riesz spaces. We prove, in particular, that when A, B and C are order complete Riesz spaces, the ordered vector space Bb(A × B, C) of all order bounded bilinear mappings has the structure of a lattice space. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Mathematical Society of the Rep. of China | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Bilinear mapping | en_US |
| dc.subject | Lattice operation | en_US |
| dc.subject | Riesz space | en_US |
| dc.subject | Vector lattice | en_US |
| dc.title | Lattice operations of positive bilinear mappings | en_US |
| dc.type | article | en_US |
| dc.contributor.department | RTEÜ, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.contributor.institutionauthor | Yılmaz, Ruşen | |
| dc.identifier.doi | 10.11650/twjm/1500602487 | |
| dc.identifier.volume | 12 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 39 | en_US |
| dc.identifier.endpage | 49 | en_US |
| dc.relation.journal | Taiwanese Journal of Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
