On orthogonally additive band operators and orthogonally additive disjointness preserving operators
TURKISH JOURNAL OF MATHEMATICS, cilt.47, sa.4, ss.1258-1266, 2023 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 47 Sayı: 4
- Basım Tarihi: 2023
- Doi Numarası: 10.55730/1300-0098.3425
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1258-1266
- Anahtar Kelimeler: Vector lattice, orthogonally additive band operator, orthogonally additive inverse band operator, orthogo-nally additive disjointness preserving operator
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Gazi Üniversitesi Adresli: Evet
Özet
Let M , N be Archimedean vector lattices. We introduce orthogonally additive band operators and orthogonally additive inverse band operators from M to N and examine their properties. We investigate the relationship between orthogonally additive band operators and orthogonally additive disjointness preserving operators and show that under some assumptions on vector lattices M or N, these two classes are the same. By using this relation, we show that if mu is a bijective orthogonally additive band operator (resp. orthogonally additive disjointness preserving operator) from M into N then mu-1:N -> M is an orthogonally additive band operator (resp. orthogonally additive disjointness preserving operator).