The Arens Triadjoints of some Bilinear Maps
FILOMAT, cilt.28, sa.5, ss.963-979, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 28 Sayı: 5
- Basım Tarihi: 2014
- Doi Numarası: 10.2298/fil1405963y
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.963-979
- Recep Tayyip Erdoğan Üniversitesi Adresli: Evet
Özet
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].