On some topological properties of generalized difference sequence spaces
We obtain some topological results of the sequence spaces Δm(X), where Δm(X)={x=(xk):(Δmxk)∈X}, (m∈ℕ), and X is any sequence space. We compute the pα-, pβ-, and pγ-duals of l∞,c, and c0 and we investigate the N-(or null) dual of the sequence spaces Δm(l∞), Δm(c), and Δm(c0). Also we show that an...
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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 |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200002325 |
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| _version_ | 1832550648105664512 |
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| author | Mikail Et |
| author_facet | Mikail Et |
| author_sort | Mikail Et |
| collection | DOAJ |
| description | We obtain some topological results of the sequence
spaces Δm(X), where Δm(X)={x=(xk):(Δmxk)∈X}, (m∈ℕ), and X is any sequence space. We
compute the pα-, pβ-, and pγ-duals of
l∞,c, and c0 and we investigate the N-(or null) dual
of the sequence spaces Δm(l∞), Δm(c), and
Δm(c0). Also we show that any matrix map from
Δm(l∞) into a BK-space which does not contain
any subspace isomorphic to Δm(l∞) is compact. |
| format | Article |
| id | doaj-art-a5c5f169212c42b4b2347a6253a3f2c9 |
| 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-a5c5f169212c42b4b2347a6253a3f2c92025-02-03T06:06:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241178579110.1155/S0161171200002325On some topological properties of generalized difference sequence spacesMikail Et0Department of Mathematics, Firat University, Elazig 23119, TurkeyWe obtain some topological results of the sequence spaces Δm(X), where Δm(X)={x=(xk):(Δmxk)∈X}, (m∈ℕ), and X is any sequence space. We compute the pα-, pβ-, and pγ-duals of l∞,c, and c0 and we investigate the N-(or null) dual of the sequence spaces Δm(l∞), Δm(c), and Δm(c0). Also we show that any matrix map from Δm(l∞) into a BK-space which does not contain any subspace isomorphic to Δm(l∞) is compact.http://dx.doi.org/10.1155/S0161171200002325Difference sequence spacesstatistical convergence the N-dualthe pα-pβ-and pγ-dual. |
| spellingShingle | Mikail Et On some topological properties of generalized difference sequence spaces International Journal of Mathematics and Mathematical Sciences Difference sequence spaces statistical convergence the N-dual the pα- pβ- and pγ-dual. |
| title | On some topological properties of generalized difference sequence spaces |
| title_full | On some topological properties of generalized difference sequence spaces |
| title_fullStr | On some topological properties of generalized difference sequence spaces |
| title_full_unstemmed | On some topological properties of generalized difference sequence spaces |
| title_short | On some topological properties of generalized difference sequence spaces |
| title_sort | on some topological properties of generalized difference sequence spaces |
| topic | Difference sequence spaces statistical convergence the N-dual the pα- pβ- and pγ-dual. |
| url | http://dx.doi.org/10.1155/S0161171200002325 |
| work_keys_str_mv | AT mikailet onsometopologicalpropertiesofgeneralizeddifferencesequencespaces |