MATRIX TRANSFORMATIONS AND COMPACT OPERATORS ON THE BINOMIAL SEQUENCE SPACES
KOREAN JOURNAL OF MATHEMATICS, cilt.27, sa.4, ss.949-968, 2019 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 4
- Basım Tarihi: 2019
- Doi Numarası: 10.11568/kjm.2019.27.4.949
- Dergi Adı: KOREAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.949-968
- Recep Tayyip Erdoğan Üniversitesi Adresli: Evet
Özet
In this work, we characterize some matrix classes concerning the Binomial sequence spaces b(infinity)(r,s) and b(p)(r;s), where 1 <= p < infinity. Moreover, by using the notion of Hausdorff measure of noncompactness, we characterize the class of compact matrix operators from b(0)(r,s) , b(c)(r,s) and b(infinity)(r,s) into c(0), c and l(infinity), respectively.