Compact Operators for Almost Conservative and Strongly Conservative Matrices
We obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes (f,X), where X=c,c0,l∞. These results are achieved by apply...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/567317 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550629543772160 |
|---|---|
| author | S. A. Mohiuddine M. Mursaleen A. Alotaibi |
| author_facet | S. A. Mohiuddine M. Mursaleen A. Alotaibi |
| author_sort | S. A. Mohiuddine |
| collection | DOAJ |
| description | We obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes (f,X), where X=c,c0,l∞. These results are achieved by applying the Hausdorff measure of noncompactness. |
| format | Article |
| id | doaj-art-74b45012658b4e7bae17885f5e3e778e |
| 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-74b45012658b4e7bae17885f5e3e778e2025-02-03T06:06:20ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/567317567317Compact Operators for Almost Conservative and Strongly Conservative MatricesS. A. Mohiuddine0M. Mursaleen1A. Alotaibi2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes (f,X), where X=c,c0,l∞. These results are achieved by applying the Hausdorff measure of noncompactness.http://dx.doi.org/10.1155/2014/567317 |
| spellingShingle | S. A. Mohiuddine M. Mursaleen A. Alotaibi Compact Operators for Almost Conservative and Strongly Conservative Matrices Abstract and Applied Analysis |
| title | Compact Operators for Almost Conservative and Strongly Conservative Matrices |
| title_full | Compact Operators for Almost Conservative and Strongly Conservative Matrices |
| title_fullStr | Compact Operators for Almost Conservative and Strongly Conservative Matrices |
| title_full_unstemmed | Compact Operators for Almost Conservative and Strongly Conservative Matrices |
| title_short | Compact Operators for Almost Conservative and Strongly Conservative Matrices |
| title_sort | compact operators for almost conservative and strongly conservative matrices |
| url | http://dx.doi.org/10.1155/2014/567317 |
| work_keys_str_mv | AT samohiuddine compactoperatorsforalmostconservativeandstronglyconservativematrices AT mmursaleen compactoperatorsforalmostconservativeandstronglyconservativematrices AT aalotaibi compactoperatorsforalmostconservativeandstronglyconservativematrices |