Uniform Toeplitz matrices
We characterize all infinite matrices of bounded linear operators on a Banach space which preserve the limits of uniformly convergent sequences defined on an infinite set. Also, we give a Tauberian theorem for uniform summability by the Kuttner-Maddox matrix.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1990-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000345 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850169646612742144 |
|---|---|
| author | I. J. Maddox |
| author_facet | I. J. Maddox |
| author_sort | I. J. Maddox |
| collection | DOAJ |
| description | We characterize all infinite matrices of bounded linear operators on a Banach space which preserve the limits of uniformly convergent sequences defined on an infinite set. Also, we give a Tauberian theorem for uniform summability by the Kuttner-Maddox matrix. |
| format | Article |
| id | doaj-art-a9a2e00690204db09bece2baedf546a5 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a9a2e00690204db09bece2baedf546a52025-08-20T02:20:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113222723210.1155/S0161171290000345Uniform Toeplitz matricesI. J. Maddox0Department of Pure Mathematics, Queen's University of Belfast, Belfast BT7 1NN, IrelandWe characterize all infinite matrices of bounded linear operators on a Banach space which preserve the limits of uniformly convergent sequences defined on an infinite set. Also, we give a Tauberian theorem for uniform summability by the Kuttner-Maddox matrix.http://dx.doi.org/10.1155/S0161171290000345uniform Toeplitz matrixstrong slow oscillationTauberian theorems. |
| spellingShingle | I. J. Maddox Uniform Toeplitz matrices International Journal of Mathematics and Mathematical Sciences uniform Toeplitz matrix strong slow oscillation Tauberian theorems. |
| title | Uniform Toeplitz matrices |
| title_full | Uniform Toeplitz matrices |
| title_fullStr | Uniform Toeplitz matrices |
| title_full_unstemmed | Uniform Toeplitz matrices |
| title_short | Uniform Toeplitz matrices |
| title_sort | uniform toeplitz matrices |
| topic | uniform Toeplitz matrix strong slow oscillation Tauberian theorems. |
| url | http://dx.doi.org/10.1155/S0161171290000345 |
| work_keys_str_mv | AT ijmaddox uniformtoeplitzmatrices |