On Some Spaces Isomorphic to the Space of Absolutely q-summable Double Sequences
KYUNGPOOK MATHEMATICAL JOURNAL, cilt.58, sa.2, ss.271-289, 2018 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 58 Sayı: 2
- Basım Tarihi: 2018
- Doi Numarası: 10.5666/kmj.2018.58.2.271
- Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.271-289
- İstanbul Üniversitesi Adresli: Evet
Özet
Let 0 < q < infinity. In this study, we introduce the spaces BVq and LSq of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix Delta and summation matrix S in the space L-q of absolutely q-summable double sequences, respectively. Also, we determine their alpha- and beta-duals and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q <= 1.