On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces
The aim of this paper is to define the notions of ideal convergence, I-bounded for double sequences in setting of locally solid Riesz spaces and study some results related to these notions. We also define the notion of I*-convergence for double sequences in locally solid Riesz spaces and establish i...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/396254 |
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| author | A. Alotaibi B. Hazarika S. A. Mohiuddine |
| author_facet | A. Alotaibi B. Hazarika S. A. Mohiuddine |
| author_sort | A. Alotaibi |
| collection | DOAJ |
| description | The aim of this paper is to define the notions of ideal convergence, I-bounded for double sequences in setting of locally solid Riesz spaces and study some results related to these notions. We also define the notion of I*-convergence for double sequences in locally solid Riesz spaces and establish its relationship with ideal convergence. |
| format | Article |
| id | doaj-art-21fa061e884b42cbba6737576a9521a4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-21fa061e884b42cbba6737576a9521a42025-02-03T05:43:49ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/396254396254On the Ideal Convergence of Double Sequences in Locally Solid Riesz SpacesA. Alotaibi0B. Hazarika1S. A. Mohiuddine2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh 791112, IndiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe aim of this paper is to define the notions of ideal convergence, I-bounded for double sequences in setting of locally solid Riesz spaces and study some results related to these notions. We also define the notion of I*-convergence for double sequences in locally solid Riesz spaces and establish its relationship with ideal convergence.http://dx.doi.org/10.1155/2014/396254 |
| spellingShingle | A. Alotaibi B. Hazarika S. A. Mohiuddine On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces Abstract and Applied Analysis |
| title | On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces |
| title_full | On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces |
| title_fullStr | On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces |
| title_full_unstemmed | On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces |
| title_short | On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces |
| title_sort | on the ideal convergence of double sequences in locally solid riesz spaces |
| url | http://dx.doi.org/10.1155/2014/396254 |
| work_keys_str_mv | AT aalotaibi ontheidealconvergenceofdoublesequencesinlocallysolidrieszspaces AT bhazarika ontheidealconvergenceofdoublesequencesinlocallysolidrieszspaces AT samohiuddine ontheidealconvergenceofdoublesequencesinlocallysolidrieszspaces |