Some New Paranormed Sequence Spaces and $\alpha-$ Core
Autor: | Demiriz, Serkan, Çakan, Celal |
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Rok vydání: | 2014 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | In this study, we define new paranormed sequence spaces by combining a double sequential band matrix and a diagonal matrix. Furthermore, we compute the $\alpha-,\beta-$ and $\gamma-$ duals and obtain bases for these sequence spaces. Besides this, we characterize the matrix transformations from the new paranormed sequence spaces to the spaces $c_{0}(q),c(q),\ell(q)$ and $\ell_{\infty}(q)$. Finally, $\alpha-core$ of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core. Comment: 16 pages. arXiv admin note: substantial text overlap with arXiv:1309.0154; and text overlap with arXiv:1105.3747 by other authors |
Databáze: | arXiv |
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