On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences
We introduce the spaces of -null, -convergent, and -bounded sequences. We examine some topological properties of the spaces and give some inclusion relations concerning these sequence spaces. Furthermore, we compute -, -, and -duals of these spaces. Finally, we characterize some classes of matrix tr...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/476363 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554025909747712 |
|---|---|
| author | Naim L. Braha Feyzi Başar |
| author_facet | Naim L. Braha Feyzi Başar |
| author_sort | Naim L. Braha |
| collection | DOAJ |
| description | We introduce the spaces of -null, -convergent, and -bounded sequences. We examine some topological properties of the spaces and give some inclusion relations concerning these sequence spaces. Furthermore, we compute -, -, and -duals of these spaces. Finally, we characterize some classes of matrix transformations from the spaces of -bounded and -convergent sequences to the spaces of bounded, almost convergent, almost null, and convergent sequences and present a Steinhaus type theorem. |
| format | Article |
| id | doaj-art-8fed7360b79545f8b6a135877bdadf10 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8fed7360b79545f8b6a135877bdadf102025-02-03T05:52:33ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/476363476363On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded SequencesNaim L. Braha0Feyzi Başar1Department of Mathematics and Computer Sciences, Avenue “Mother Teresa” Nr=5, 10000 Prishtinë, KosovoDepartment of Mathematics, Faculty of Arts and Sciences, Fatih University, The Hadimköy Campus, Büyükçekmece, 34500 İstanbul, TurkeyWe introduce the spaces of -null, -convergent, and -bounded sequences. We examine some topological properties of the spaces and give some inclusion relations concerning these sequence spaces. Furthermore, we compute -, -, and -duals of these spaces. Finally, we characterize some classes of matrix transformations from the spaces of -bounded and -convergent sequences to the spaces of bounded, almost convergent, almost null, and convergent sequences and present a Steinhaus type theorem.http://dx.doi.org/10.1155/2013/476363 |
| spellingShingle | Naim L. Braha Feyzi Başar On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences Abstract and Applied Analysis |
| title | On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences |
| title_full | On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences |
| title_fullStr | On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences |
| title_full_unstemmed | On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences |
| title_short | On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences |
| title_sort | on the domain of the triangle on the spaces of null convergent and bounded sequences |
| url | http://dx.doi.org/10.1155/2013/476363 |
| work_keys_str_mv | AT naimlbraha onthedomainofthetriangleonthespacesofnullconvergentandboundedsequences AT feyzibasar onthedomainofthetriangleonthespacesofnullconvergentandboundedsequences |