On band operators
TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.2, ss.965-972, 2019 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.3906/mat-1811-35
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.965-972
- Gazi Üniversitesi Adresli: Evet
Özet
Let G and H be Archimedean Riesz spaces. We study the properties of band operators and inverse band operators from G to H and investigate their relations to some well-known classes of operators. Then, we show that under some assumptions on the Riesz spaces G or H, if S is a bijective band operator from G into H then S-1 : H -> G is a band operator. Additionally, we give some conditions under which a band operator becomes order bounded.