On th-Order Slant Weighted Toeplitz Operator
Let be a sequence of positive numbers with , when and when . A th-order slant weighted Toeplitz operator on is given by , where is the multiplication on and is an operator on given by , being the orthonormal basis for . In this paper, we define a th-order slant weighted Toeplitz matrix and...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/960853 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560000988348416 |
|---|---|
| author | S. C. Arora Ritu Kathuria |
| author_facet | S. C. Arora Ritu Kathuria |
| author_sort | S. C. Arora |
| collection | DOAJ |
| description | Let be a sequence of positive numbers with , when and when . A th-order slant weighted Toeplitz operator on is given by , where is the multiplication on and is an operator on given by , being the orthonormal basis for . In this paper, we define a th-order slant weighted Toeplitz matrix and characterise in terms of this matrix. We further prove some properties of using this characterisation. |
| format | Article |
| id | doaj-art-d56456eb32db4da2bb64e1f841b50a84 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-d56456eb32db4da2bb64e1f841b50a842025-02-03T01:28:46ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/960853960853On th-Order Slant Weighted Toeplitz OperatorS. C. Arora0Ritu Kathuria1Department of Mathematics, University of Delhi, Delhi 110007, IndiaDepartment of Mathematics, Motilal Nehru College, University of Delhi, Delhi 110007, IndiaLet be a sequence of positive numbers with , when and when . A th-order slant weighted Toeplitz operator on is given by , where is the multiplication on and is an operator on given by , being the orthonormal basis for . In this paper, we define a th-order slant weighted Toeplitz matrix and characterise in terms of this matrix. We further prove some properties of using this characterisation.http://dx.doi.org/10.1155/2013/960853 |
| spellingShingle | S. C. Arora Ritu Kathuria On th-Order Slant Weighted Toeplitz Operator The Scientific World Journal |
| title | On th-Order Slant Weighted Toeplitz Operator |
| title_full | On th-Order Slant Weighted Toeplitz Operator |
| title_fullStr | On th-Order Slant Weighted Toeplitz Operator |
| title_full_unstemmed | On th-Order Slant Weighted Toeplitz Operator |
| title_short | On th-Order Slant Weighted Toeplitz Operator |
| title_sort | on th order slant weighted toeplitz operator |
| url | http://dx.doi.org/10.1155/2013/960853 |
| work_keys_str_mv | AT scarora onthorderslantweightedtoeplitzoperator AT ritukathuria onthorderslantweightedtoeplitzoperator |