The second dual spaces of the sets of Λ-strongly convergent and bounded sequences
We give the second β-, γ-, and f-duals of the sets w0p(Λ), w∞p(Λ)(0<p<∞), c0p(Λ), cp(Λ), and c∞p(Λ)(0<p≤1) and the second continuous dual spaces of w0p(Λ), c0p(Λ), and cp(Λ) for 0<p≤1. Furthermore, we determine the α-duals of c0p(Λ), cp(Λ), and c∞p(Λ) for 1<p<∞....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002453 |
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| _version_ | 1832561648966041600 |
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| author | A. M. Jarrah E. Malkowsky |
| author_facet | A. M. Jarrah E. Malkowsky |
| author_sort | A. M. Jarrah |
| collection | DOAJ |
| description | We give the second β-, γ-, and
f-duals of the sets
w0p(Λ), w∞p(Λ)(0<p<∞),
c0p(Λ), cp(Λ), and c∞p(Λ)(0<p≤1) and the second continuous dual spaces of
w0p(Λ), c0p(Λ), and cp(Λ) for
0<p≤1. Furthermore, we determine the α-duals of
c0p(Λ), cp(Λ), and c∞p(Λ) for
1<p<∞. |
| format | Article |
| id | doaj-art-838378d9b97c41b2b136c64abd7b6432 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-838378d9b97c41b2b136c64abd7b64322025-02-03T01:24:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124212112810.1155/S0161171200002453The second dual spaces of the sets of Λ-strongly convergent and bounded sequencesA. M. Jarrah0E. Malkowsky1Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, JordanDepartment of Mathematics, Faculty of Science, Yarmouk University, Irbid, JordanWe give the second β-, γ-, and f-duals of the sets w0p(Λ), w∞p(Λ)(0<p<∞), c0p(Λ), cp(Λ), and c∞p(Λ)(0<p≤1) and the second continuous dual spaces of w0p(Λ), c0p(Λ), and cp(Λ) for 0<p≤1. Furthermore, we determine the α-duals of c0p(Λ), cp(Λ), and c∞p(Λ) for 1<p<∞.http://dx.doi.org/10.1155/S0161171200002453BK spacesAK spacesAD spacesdual spaces. |
| spellingShingle | A. M. Jarrah E. Malkowsky The second dual spaces of the sets of Λ-strongly convergent and bounded sequences International Journal of Mathematics and Mathematical Sciences BK spaces AK spaces AD spaces dual spaces. |
| title | The second dual spaces of the sets of Λ-strongly convergent and bounded sequences |
| title_full | The second dual spaces of the sets of Λ-strongly convergent and bounded sequences |
| title_fullStr | The second dual spaces of the sets of Λ-strongly convergent and bounded sequences |
| title_full_unstemmed | The second dual spaces of the sets of Λ-strongly convergent and bounded sequences |
| title_short | The second dual spaces of the sets of Λ-strongly convergent and bounded sequences |
| title_sort | second dual spaces of the sets of λ strongly convergent and bounded sequences |
| topic | BK spaces AK spaces AD spaces dual spaces. |
| url | http://dx.doi.org/10.1155/S0161171200002453 |
| work_keys_str_mv | AT amjarrah theseconddualspacesofthesetsoflstronglyconvergentandboundedsequences AT emalkowsky theseconddualspacesofthesetsoflstronglyconvergentandboundedsequences AT amjarrah seconddualspacesofthesetsoflstronglyconvergentandboundedsequences AT emalkowsky seconddualspacesofthesetsoflstronglyconvergentandboundedsequences |