On The Spectrum Of Norlund Type Matrix Operator 𝐴 = (𝑎𝑛𝑘) On The Sequence Spaces ℓ1 And 𝑏𝑣
| Autor: | Orhan Tug |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Eurasian Journal of Science and Engineering, Vol 9, Iss 2, Pp 195-207 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2414-5629 2414-5602 |
| DOI: | 10.23918/eajse.v9i2p15 |
| Popis: | In this article, we defined a Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) by 𝑎𝑛𝑘 = { 1 , 𝑘 = 𝑛 = 0 1 2 , 𝑛 − 1 ≤ 𝑘 ≤ 𝑛 0 , 𝑜𝑡ℎ𝑒𝑟𝑣𝑖𝑠𝑒 . Then we showed that the Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) is a linear and bounded operator on the sequence spaces ℓ1 and 𝑏𝑣. Finally, we calculated the fine spectrum and its subdivisions of the operator 𝐴 = (𝑎𝑛𝑘) on the sequence spaces ℓ1 and 𝑏𝑣. |
| Databáze: | Directory of Open Access Journals |
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