dc.contributor.author | Yılmaz, Ruşen | |
dc.date.accessioned | 2020-12-19T20:03:31Z | |
dc.date.available | 2020-12-19T20:03:31Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Yilmaz, R. (2014). The arens triadjoints of some bilinear maps. Filomat, 28(5), 963-979. https://doi.org/10.2298/FIL1405963Y | en_US |
dc.identifier.issn | 0354-5180 | |
dc.identifier.uri | https://doi.org/10.2298/FIL1405963Y | |
dc.identifier.uri | https://hdl.handle.net/11436/3188 | |
dc.description | WOS: 000344775400007 | en_US |
dc.description.abstract | In this paper we study the Arens triadjoints of some bilinear maps on vector lattices. in particular, we prove that, for Archimedean vector lattices A and B, the Arens triadjoint i) T*** : A '' x A '' -> B '' of a positive orthosymmetric bilinear map T : A x A -> B is positive orthosymmetric, and ii) T*** : A '' x A '' -> A '' of a bi-orthomorphism T : A x A -> A is a bi-orthomorphism. These generalize results on the order bidual of f-algebras and almost f-algebras in [4]. | en_US |
dc.description.sponsorship | Higher Education Council (YOK) GrantMinistry of National Education - Turkey [CODE 2221] | en_US |
dc.description.sponsorship | Research supported by the Higher Education Council (YOK) Grant CODE 2221. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Univ Nis, Fac Sci Math | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Arens adjoint | en_US |
dc.subject | Vector lattice | en_US |
dc.subject | Order bidual | en_US |
dc.subject | Orthosymmetric bilinear map | en_US |
dc.subject | Bi-orthomorphism | en_US |
dc.title | The arens triadjoints of some bilinear maps | 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 | 10.2298/FIL1405963Y | |
dc.identifier.volume | 28 | en_US |
dc.identifier.issue | 5 | en_US |
dc.identifier.startpage | 963 | en_US |
dc.identifier.endpage | 979 | en_US |
dc.relation.journal | Filomat | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |