On matrix transformations concerning the Nakano vector-valued sequence space
We give the matrix characterizations from Nakano vector-valued sequence space ℓ(X,p) and Fr(X,p) into the sequence spaces Er, ℓ∞, ℓ¯∞(q), bs, and cs, where p=(pk) and q=(qk) are bounded sequences of positive real numbers such that Pk>1 for all k∈ℕ and r≥0.
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201010730 |
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| _version_ | 1849405658713030656 |
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| author | Suthep Suantai |
| author_facet | Suthep Suantai |
| author_sort | Suthep Suantai |
| collection | DOAJ |
| description | We give the matrix characterizations from Nakano vector-valued sequence space ℓ(X,p) and Fr(X,p) into the sequence spaces Er, ℓ∞, ℓ¯∞(q), bs, and cs, where p=(pk) and q=(qk) are bounded sequences of positive real numbers such that Pk>1 for all k∈ℕ and r≥0. |
| format | Article |
| id | doaj-art-513fefe63ad747aaa032ccb4cc3743d4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-513fefe63ad747aaa032ccb4cc3743d42025-08-20T03:36:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01261167167810.1155/S0161171201010730On matrix transformations concerning the Nakano vector-valued sequence spaceSuthep Suantai0Department of Mathematics, Faculty of Science, Chaing Mai University, Chiang Mai 50200, ThailandWe give the matrix characterizations from Nakano vector-valued sequence space ℓ(X,p) and Fr(X,p) into the sequence spaces Er, ℓ∞, ℓ¯∞(q), bs, and cs, where p=(pk) and q=(qk) are bounded sequences of positive real numbers such that Pk>1 for all k∈ℕ and r≥0.http://dx.doi.org/10.1155/S0161171201010730 |
| spellingShingle | Suthep Suantai On matrix transformations concerning the Nakano vector-valued sequence space International Journal of Mathematics and Mathematical Sciences |
| title | On matrix transformations concerning the Nakano vector-valued sequence space |
| title_full | On matrix transformations concerning the Nakano vector-valued sequence space |
| title_fullStr | On matrix transformations concerning the Nakano vector-valued sequence space |
| title_full_unstemmed | On matrix transformations concerning the Nakano vector-valued sequence space |
| title_short | On matrix transformations concerning the Nakano vector-valued sequence space |
| title_sort | on matrix transformations concerning the nakano vector valued sequence space |
| url | http://dx.doi.org/10.1155/S0161171201010730 |
| work_keys_str_mv | AT suthepsuantai onmatrixtransformationsconcerningthenakanovectorvaluedsequencespace |