Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces
We determine the conditions for some matrix transformations from n(ϕ), where the sequence space n(ϕ), which is related to the ℓp spaces, was introduced by Sargent (1960). We also obtain estimates for the norms of the bounded linear operators defined by these matrix transformations and find condition...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/378250 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556760497389568 |
|---|---|
| author | M. Mursaleen A. Latif |
| author_facet | M. Mursaleen A. Latif |
| author_sort | M. Mursaleen |
| collection | DOAJ |
| description | We determine the conditions for some matrix transformations from n(ϕ), where the sequence space n(ϕ), which is related to the ℓp spaces, was introduced by Sargent (1960). We also obtain estimates for the norms of the bounded linear operators defined by these matrix transformations and find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of
noncompactness. |
| format | Article |
| id | doaj-art-90aaf48882554e83b412b33ed61c51f9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-90aaf48882554e83b412b33ed61c51f92025-02-03T05:44:24ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/378250378250Applications of Measure of Noncompactness in Matrix Operators on Some Sequence SpacesM. Mursaleen0A. Latif1Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaWe determine the conditions for some matrix transformations from n(ϕ), where the sequence space n(ϕ), which is related to the ℓp spaces, was introduced by Sargent (1960). We also obtain estimates for the norms of the bounded linear operators defined by these matrix transformations and find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of noncompactness.http://dx.doi.org/10.1155/2012/378250 |
| spellingShingle | M. Mursaleen A. Latif Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces Abstract and Applied Analysis |
| title | Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces |
| title_full | Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces |
| title_fullStr | Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces |
| title_full_unstemmed | Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces |
| title_short | Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces |
| title_sort | applications of measure of noncompactness in matrix operators on some sequence spaces |
| url | http://dx.doi.org/10.1155/2012/378250 |
| work_keys_str_mv | AT mmursaleen applicationsofmeasureofnoncompactnessinmatrixoperatorsonsomesequencespaces AT alatif applicationsofmeasureofnoncompactnessinmatrixoperatorsonsomesequencespaces |