Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal
In this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ideal has been shown. We investigate the sufficien...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6664996 |
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| author | Awad A. Bakery OM Kalthum S. K. Mohamed |
| author_facet | Awad A. Bakery OM Kalthum S. K. Mohamed |
| author_sort | Awad A. Bakery |
| collection | DOAJ |
| description | In this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ideal has been shown. We investigate the sufficient conditions on this sequence space to be premodular Banach special space of sequences, and the constructed pre-quasi operator ideal becomes small, simple, closed, Banach space and has eigenvalues identical with its s-numbers. |
| format | Article |
| id | doaj-art-9ef0aed7b47b4abdb1ac570cb38ab2e7 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9ef0aed7b47b4abdb1ac570cb38ab2e72025-02-03T01:20:21ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/66649966664996Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator IdealAwad A. Bakery0OM Kalthum S. K. Mohamed1University of Jeddah, College of Science and Arts at Khulis, Department of Mathematics, Jeddah, Saudi ArabiaUniversity of Jeddah, College of Science and Arts at Khulis, Department of Mathematics, Jeddah, Saudi ArabiaIn this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ideal has been shown. We investigate the sufficient conditions on this sequence space to be premodular Banach special space of sequences, and the constructed pre-quasi operator ideal becomes small, simple, closed, Banach space and has eigenvalues identical with its s-numbers.http://dx.doi.org/10.1155/2020/6664996 |
| spellingShingle | Awad A. Bakery OM Kalthum S. K. Mohamed Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal Journal of Mathematics |
| title | Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal |
| title_full | Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal |
| title_fullStr | Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal |
| title_full_unstemmed | Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal |
| title_short | Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal |
| title_sort | orlicz generalized difference sequence space and the linked pre quasi operator ideal |
| url | http://dx.doi.org/10.1155/2020/6664996 |
| work_keys_str_mv | AT awadabakery orliczgeneralizeddifferencesequencespaceandthelinkedprequasioperatorideal AT omkalthumskmohamed orliczgeneralizeddifferencesequencespaceandthelinkedprequasioperatorideal |